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Function used in computer cryptography
computer science Do one-way functions exist? More unsolved problems in computer science In computer science, a one-way function is a function that is easy to
One-way_function
Cryptographic primitive
a one-way compression function is a function that transforms two fixed-length inputs into a fixed-length output. The transformation is "one-way", meaning
One-way_compression_function
Hash function that is suitable for use in cryptography
such that h = hash(m). This concept is related to that of a one-way function. Functions that lack this property are vulnerable to preimage attacks. Second
Cryptographic_hash_function
One-way cryptographic tool
functions are a special case of one-way functions and are widely used in public-key cryptography. In mathematical terms, if f is a trapdoor function,
Trapdoor_function
Topics referred to by the same term
Look up one-way in Wiktionary, the free dictionary. One-way or one way may refer to: One-way traffic, a street either facilitating only one-way traffic
One-way
The existence of pseudorandom generators is related to the existence of one-way functions
existence of pseudorandom generators is related to the existence of one-way functions through a number of theorems, collectively referred to as the pseudorandom
Pseudorandom generator theorem
Pseudorandom_generator_theorem
In cryptography a universal one-way hash function (UOWHF, often pronounced "woof") is a type of universal hash function of particular importance to cryptography
Universal one-way hash function
Universal_one-way_hash_function
Algorithm for public-key cryptography
a prime number. However, they left open the problem of realizing a one-way function, possibly because the difficulty of factoring was not well-studied
RSA_cryptosystem
|f_{k}\rangle } In both cases f is a one-way quantum function that has the same properties as a classical one-way function. That is, the result is easy to
Quantum_digital_signature
Cryptographic signature scheme
signatures is based on the security of the one-way hash function and the length of its output. For a hash function that generates an n-bit message digest
Lamport_signature
Unreproducible object used in digital security
A physical unclonable function, or PUF, is a physical object whose operation cannot be reproduced ("cloned") in physical way (by making another system
Physical_unclonable_function
predicate of a one-way function f is a predicate b (i.e., a function whose output is a single bit) which is easy to compute (as a function of x) but is
Hard-core_predicate
Suite of Microsoft security protocols
also uses one of two one-way functions, depending on the NTLM version; NT LanMan and NTLM version 1 use the DES-based LanMan one-way function (LMOWF),
NTLM
Exponentation in modular arithmetic
exponent e when given b, c, and m – is believed to be difficult. This one-way function behavior makes modular exponentiation a candidate for use in cryptographic
Modular_exponentiation
Password that can only be used once
algorithm, credited to Leslie Lamport, uses a one-way function (call it f {\displaystyle f} ). This one-time password system works as follows: A seed
One-time_password
Cryptographic scheme
that, commitment via one-way hash functions was considered, e.g., as part of, say, Lamport signature, the original one-time one-bit signature scheme.
Commitment_scheme
Stream cipher
indicate that VMPC is not a good candidate for a cryptographic one-way function". The VMPC function is used in an encryption algorithm – the VMPC stream cipher
Variably Modified Permutation Composition
Variably_Modified_Permutation_Composition
to reverse, if reversal is possible at all. A classic example of a one-way function is multiplication of very large prime numbers. It's fairly quick to
History_of_cryptography
Security architecture implemented in hardware
In this respect it is the hardware analog of a one-way function. The name "physical unclonable function" might be a little misleading as some PUFs are
Hardware_security
Association of one output to each input
mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the
Function_(mathematics)
Password cracking dataset
ineffective against one-way hashes that include large salts. For example, consider a password hash that is generated using the following function (where "+" is
Rainbow_table
Topics referred to by the same term
refer to: Verifiable unpredictable function, a public-key one-way function in cryptography; see Verifiable random function Vänsterns Ungdomsförbund (lit. 'Youth
VUF
Traffic that moves in a single direction
One-way traffic (or uni-directional traffic) is traffic that moves in a single direction. A one-way street is a street either facilitating only one-way
One-way_traffic
Function that derives secret keys from a secret value
In cryptography, a key derivation function (KDF) is a cryptographic algorithm that derives one or more secret keys from a secret value such as a master
Key_derivation_function
American computer scientist
include: the construction of a pseudorandom number generator from any one-way function, his proof of Yao's XOR lemma via "hard core sets", his proof of the
Russell_Impagliazzo
Cryptographic system with public and private keys
are generated with algorithms based on mathematical problems termed one-way functions. Security of public-key cryptography depends on keeping the private
Public-key_cryptography
Mathematical scheme for verifying the authenticity of digital documents
which is not built on trapdoor functions but rather on a family of function with a much weaker required property of one-way permutation was presented by
Digital_signature
Formal concept in theoretical computer science and cryptography
been proven that pseudorandom generators can be constructed from any one-way function which are believed to exist. Pseudorandom generators are necessary
Pseudorandom_generator
have a one-way function, where there is either no restriction or no movement in one direction. Delay valves are usually color-coded to their function. 1988
Vacuum_delay_valve
Unsolved problem in computer science
time), meaning the task completion time is bounded above by a polynomial function on the size of the input to the algorithm. The general class of questions
P_versus_NP_problem
Mathematical relation assigning a probability event to a cost
theory, a loss function or cost function (sometimes also called an error function) is a function that maps an event or values of one or more variables
Loss_function
Information theorist and cryptographer
In cryptography he is known for his contributions showing that any one-way function can be used as the basis for private cryptography, and for his analysis
Michael_Luby
Algorithm that generates an approximation of a random number sequence
(cryptographically) secure PRNG can be constructed generically from any one-way function, this generic construction is extremely slow in practice, so is mainly
Pseudorandom_number_generator
Pseudorandom number generator
Manuel Blum and Michael Shub that is derived from Michael O. Rabin's one-way function. Blum Blum Shub takes the form x n + 1 = x n 2 mod M {\displaystyle
Blum_Blum_Shub
Obfuscation methods used in tracking users
MAC address anonymization performs a one-way function on a MAC address so that the result may be used in tracking systems for reporting and the general
MAC_address_anonymization
Transforming a function in such a way that it only takes a single argument
a function that takes multiple arguments into a sequence of families of functions, each taking a single argument. In the prototypical example, one begins
Currying
One-to-one correspondence
In mathematics, a bijection, bijective function, or one-to-one correspondence is a function between two sets such that each element of the second set (the
Bijection
Mathematical function
provably secure if the probability of security failure (e.g., inverting a one-way function, distinguishing cryptographically strong pseudorandom bits from truly
Negligible_function
Family of solutions to related differential equations
subtracted, to yield various other relations. In this way, for example, one can compute Bessel functions of higher orders (or higher derivatives) given the
Bessel_function
distributed point function from another cryptographic primitive, a one-way function. In the other direction, if a distributed point function is known, then
Distributed_point_function
Topics referred to by the same term
universal one-way function is a function that is known to be one-way if one-way functions exist. In mathematics, a universal function is one that contains
Universal_function
Function defined by multiple sub-functions
("subdomains") on which the function may be defined differently. Piecewise definition is actually a way of specifying the function, rather than a characteristic
Piecewise_function
Algorithm to solve the discrete logarithm problem
a\mapsto a^{x}} for a fixed x ∈ N {\displaystyle x\in \mathbb {N} } is a one-way function used in cryptography. Several cryptographic methods are based on the
Function_field_sieve
Cryptography based on quantum mechanical phenomena
quantum state.[page needed] If one attempts to read the encrypted data, the quantum state will be changed due to wave function collapse (no-cloning theorem)
Quantum_cryptography
Russian mathematician
and Rudich showed that, under the assumption that certain kinds of one-way functions exist, such proofs cannot give a resolution of the P = NP problem
Alexander_Razborov
There is a generic complexity version of a one-way function which yields the same class of functions but allows one to consider different security assumptions
Generic-case_complexity
Class of mathematical functions
Intuitively, subharmonic functions are related to convex functions of one variable as follows. If the graph of a convex function and a line intersect at
Subharmonic_function
Discrete model of computation
Cellular automata have been proposed for public-key cryptography. The one-way function is the evolution of a finite CA whose inverse is believed to be hard
Cellular_automaton
Block cipher
however, is more complex, expanding the key using an essentially one-way function with the binary expansions of both e and the golden ratio as sources
RC5
Measure of algorithmic complexity
Kolmogorov complexity is related to the question of whether true one-way functions exist. Berry paradox Code golf Data compression Descriptive complexity
Kolmogorov_complexity
Authentication method
original data cannot be derived from its hash (because the hash function is a one way function), the TSA can never see the original data, which allows the
Trusted_timestamping
Mathematical object
\mathbb {Z} [x]/(x^{n}-1)} , and presented the first provably secure one-way function based on the worst-case hardness of the restriction of Poly(n)-SVP
Ideal_lattice
Mathematical function, denoted exp(x) or e^x
In mathematics, the exponential function is the unique real function which maps zero to one and has a derivative everywhere equal to its value. It is
Exponential_function
such that h = hash(m). This concept is related to that of the one-way function. Functions that lack this property are vulnerable to pre-image attacks.
Security of cryptographic hash functions
Security_of_cryptographic_hash_functions
Method of mathematical integration
French mathematician Henri Lebesgue, is one way to make this concept rigorous and to extend it to more general functions. The Lebesgue integral is more general
Lebesgue_integral
Statistical test
In statistics, one-way analysis of variance (or one-way ANOVA) is a technique to compare whether two or more samples' means are significantly different
One-way_analysis_of_variance
Stream cipher
Distinguishing Attack on VMPC and RC4A (PDF) Bartosz Zoltak (2004), "VMPC One-Way Function and Stream Cipher" (PDF), Fast Software Encryption, FSE 2004 (PDF)
RC4
Type of cipher
stream cipher. Cryptographic hash functions can be built using block ciphers. See the one-way compression function for descriptions of several such methods
Block_cipher
Functions of an angle
mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are real functions which relate an angle of
Trigonometric_functions
Mathematical description of quantum state
In quantum mechanics, a wave function (or wavefunction) is a mathematical description of the quantum state of an isolated quantum system. The most common
Wave_function
checksum. Hash function security summary Secure Hash Algorithms NIST hash function competition Key derivation functions (category) "Hash functions". www.azillionmonkeys
List_of_hash_functions
Extension of the factorial function
gamma function. One way to prove equivalence would be to find a differential equation that characterizes the gamma function. Most special functions in applied
Gamma_function
Message authentication code algorithm
(MACs). One-way compression function – Hash functions can be made from block ciphers. But note, there are significant differences in function and uses
CBC-MAC
Residential skyscraper in Singapore
One Shenton is a high end real estate redevelopment project with 341 apartments along Shenton Way in the Tanjong Pagar area of Singapore. It consists
One_Shenton_Way
Function with unusual fractal properties
definition closely related to the Stern–Brocot tree. One way to define the question-mark function involves the correspondence between two different ways
Minkowski's question-mark function
Minkowski's_question-mark_function
Mapping arbitrary data to fixed-size values
A hash function is any function that can be used to map data of arbitrary size to fixed-size values, though there are some hash functions that support
Hash_function
Problem in cryptography
The motivation for this problem is that many security systems use one-way functions: mathematical operations that are fast to compute, but hard to reverse
Diffie–Hellman_problem
{\displaystyle k} -creative language whose productive function is not polynomial-time-invertible. Therefore, if one-way permutations exist, the k {\displaystyle k}
Polynomial_creativity
Subset sum problem 3SUM Traveling salesman problem Vertex cover problem One-way function Set cover problem Independent set problem Probabilistic algorithm,
List of computability and complexity topics
List_of_computability_and_complexity_topics
Topics referred to by the same term
Digital fingerprint may refer to: Message digest, the output of a one-way function when applied to a stream of data Public key fingerprint, short sequence
Digital_fingerprint
Type of cryptographic software obfuscation
this case, BPP ≠ NP, but one-way functions do not exist; as a result, iO does not exist. Minicrypt: In this case, one-way functions exist, but secure public-key
Indistinguishability obfuscation
Indistinguishability_obfuscation
Special functions of several complex variables
mathematics, theta functions are special functions of several complex variables. Fundamentally, they are a family of continuous functions which encode the
Theta_function
Form of public key cryptography
that time they proposed the general concept of a "trap-door one-way function", a function whose inverse is computationally infeasible to calculate without
Merkle–Hellman knapsack cryptosystem
Merkle–Hellman_knapsack_cryptosystem
Process that cannot be undone or reversed
Entropy (arrow of time) Exergy Reversible process (thermodynamics) One way function Non-equilibrium thermodynamics Symmetry breaking Lucia, U (1995). "Mathematical
Irreversible_process
Approximating an arbitrary function with a well-behaved one
general, a function approximation problem asks us to select a function that closely matches ("approximates") a function in a task-specific way.[better source needed]
Function_approximation
Practice and study of secure communication techniques
examples of cryptographic primitives include pseudorandom functions, one-way functions, etc. One or more cryptographic primitives are often used to develop
Cryptography
Statistical function that defines the quantiles of a probability distribution
-\ln(1/4)/\lambda .} Quantile functions are used in both statistical applications and Monte Carlo methods. The quantile function is one way of prescribing a probability
Quantile_function
Function with a repeating pattern
A periodic function is a function that repeats its values at regular intervals. For example, the trigonometric functions, which are used to describe waves
Periodic_function
Topics referred to by the same term
may refer to: Oceania Weightlifting Federation Ohio Works First One-way function one world foundation Open Web Foundation Order of Women Freemasons Offshore
OWF
Cryptographic model of a random function
repeated, it responds the same way every time that query is submitted. Stated differently, a random oracle is a mathematical function chosen uniformly at random
Random_oracle
American cryptographer (born 1963)
constructing statistical zero-knowledge proofs for NP based on any one-way function (see NOVY and ECCC TR06-075). 1991 Introduced (with M. Yung) the notion
Rafail_Ostrovsky
Generalized function whose value is zero everywhere except at zero
is not a function in the traditional sense as no extended real number valued function defined on the real numbers has these properties. One way to rigorously
Dirac_delta_function
Vote counting system
accomplished by applying a cryptographic one-way function to the information. Though the result of this function, the commitment, is made public, the actual
Punchscan
Function that is continuous everywhere but differentiable nowhere
mathematics, the Weierstrass function, named after its discoverer, Karl Weierstrass, is an example of a real-valued function that is continuous everywhere
Weierstrass_function
Mathematical function such that every output has at least one input
least one element x in the function's domain such that f(x) = y. In other words, for a function f : X → Y, the codomain Y is the image of the function's domain
Surjective_function
Basic cryptographic algorithm used to build cryptographic protocols
systems. These routines include, but are not limited to, one-way hash functions and encryption functions. When creating cryptographic systems, designers use
Cryptographic_primitive
Algorithm characteristic in computations
existence of one-way functions. Although the existence of one-way functions is still an open problem, many candidate one-way functions are based on hard
Average-case_complexity
cryptograph • OMNI (SCIP) • One-key MAC • One-time pad • One-time password • One-way compression function • One-way function • Onion routing • Online Certificate
Index of cryptography articles
Index_of_cryptography_articles
Real function with secant line between points above the graph itself
function is called convex if the line segment between any two distinct points on the graph of the function lies above or on the graph of the function
Convex_function
Function uniquely mapping two numbers into a single number
mathematics, a pairing function is a process to uniquely encode two natural numbers into a single natural number. Any pairing function can be used in set
Pairing_function
Evaluation of a function on its argument
In mathematics, function application (or evaluation) is the act of taking a function and an input from its domain to obtain the corresponding value from
Function_application
Branch of mathematics
at that point is a way of encoding the small-scale behavior of the function near that point. By finding the derivative of a function at every point in
Calculus
Integral expressing the amount of overlap of one function as it is shifted over another
product of the two functions after one is reflected about the y-axis and shifted. The term convolution refers to both the resulting function and to the process
Convolution
Entity that can be evaluated and is hard to predict
"Physical One-Way Functions", PhD Thesis, MIT, 2001. Physical One-Way Functions. Pappu, R.; Recht, B.; Taylor, J.; Gershenfeld, N. (2002). "Physical One-Way functions"
Types of physical unclonable function
Types_of_physical_unclonable_function
Branch of mathematics studying functions of a complex variable
complex functions are defined in this way, including the complex exponential function, complex logarithm functions, and trigonometric functions. Complex
Complex_analysis
Multiplicative function in number theory
The Möbius function μ ( n ) {\displaystyle \mu (n)} is a multiplicative function in number theory introduced by the German mathematician August Ferdinand
Möbius_function
Mathematical function having a characteristic S-shaped curve or sigmoid curve
sigmoid function is any mathematical function whose graph has a characteristic S-shaped or sigmoid curve. A common example of a sigmoid function is the
Sigmoid_function
Cryptographic secret, not public in contrast to salt
Manber, Udi (1996). "A simple scheme to make passwords based on one-way functions much harder to crack". Computers & Security. 15 (2): 171–176. doi:10
Pepper_(cryptography)
Lemma in cryptography
R. Impagliazzo, L. A. Levin and M. Luby. A Pseudorandom Generator from any One-way Function. SIAM Journal on Computing, v28 n4, pp. 1364-1396, 1999.
Leftover_hash_lemma
Asymmetric sigmoid function
or Gompertz function is a type of mathematical model for a time series, named after Benjamin Gompertz (1779–1865). It is a sigmoid function which describes
Gompertz_function
ONE WAY-FUNCTION
ONE WAY-FUNCTION
Male
English
Old pet form of English Walter, WAT means "ruler of the army."
Female
Hawaiian
Hawaiian name NOE means "mist; misty rain."
Girl/Female
Australian, Christian
Sunshine; Bright; Day
Male
English
Short form of English Raymond, RAY means "wise protector."
Girl/Female
Arabic
One of the Lovers
Surname or Lastname
Variant spelling of German and Jewish Wachs.English
Variant spelling of German and Jewish Wachs.English : metonymic occupational name for a seller or gatherer of beeswax, Middle English wax (from Old English weax). In the Middle Ages wax was an important commodity, used among other things for making candles.
Female
English
 English name derived from the vocabulary word, DAY means "day." Feminine form of Middle English Daye, meaning "day."
Male
Hindi/Indian
(जय) Hindi name derived from the Sanskrit word jaya, JAY means "victory." Compare with another form of Jay.
Female
French
Feminine form of French L�on, LÉONE means "lion."
Boy/Male
British, English
Variant of Wayland; From the Land by the Path
Surname or Lastname
English
English : variant spelling of Way.
Male
Scandinavian
 Variant spelling of Scandinavian Kai, CAY means "lord." Compare with another form of Cay.
Female
English
 Variant spelling of English Oona, possibly ONA means "famine, hunger." Compare with another form of Ona.
Female
English
English name derived from the vocabulary word, GAY means "happy." Compare with masculine Gay.
Surname or Lastname
English (chiefly southern)
English (chiefly southern) : topographic name for someone who lived near a road or path, Old English weg (cognate with Old Norse vegr, Old High German weg), or a habitational name from some minor place named with this word, as for example any of the places called Way or Waye, in Devon.
Boy/Male
Shakespearean
Henry VI, Part 2' Lord Say.
Surname or Lastname
English and French
English and French : nickname from Middle English, Old French jay(e), gai ‘jay’ (the bird), probably referring to an idle chatterer or a showy person, although the jay was also noted for its thieving habits.The name is associated with a Huguenot family from La Rochelle, France, who settled in New Amsterdam. Peter Jay was the scion of the NY Jays; his son John (1745–1829) was a U.S. diplomat and first chief justice of the U.S. Supreme Court.
Female
English
English name derived from the vocabulary word fay, from Old English faie, FAY means "fairy." This name was in use in the 19th century when an interest in medieval times and Arthurian legends--brought about mostly by Tennyson's Idylls of the King--led to the use of such names as Fay and Morgan, Percival, and Tristan.Â
Male
English
 Short form of English names beginning with Gay-, such as Gabriel "man of God" or "warrior of God," and Gaylord, GAY means "dandy." Compare with feminine Gay.
Surname or Lastname
English (of Norman origin)
English (of Norman origin) : habitational name from Sai in Orne or Say in Indre, perhaps so called from a Gaulish personal name Saius + the Latin locative suffix -acum.English : metonymic occupational name for a maker or seller of say, a kind of finely textured cloth, Middle English say (from Old French saie, Latin saga, plural of sagum ‘military cloak’). In some instances the surname may have arisen from a nickname for an habitual wearer of clothes made of this material.Southern French : topographic name from saix ‘rock’ (Latin saxum), or a habitational name from a place named with this word, for example, Say in Loire, Saix in Tarn and Vienne, Le Saix in Hautes-Alpes, or Les Saix in Isère.William Say of Bristol, England, was a member of the Society of Friends who settled in America toward the close of the 17th century. His descendant Thomas Say (1787–1834) of Philadelphia is known as the father of descriptive entomology in America.
ONE WAY-FUNCTION
ONE WAY-FUNCTION
Surname or Lastname
English
English : probably a patronymic from a diminutive of Pink.
Boy/Male
American, Anglo, British, English, German, Teutonic
Protector of the Land; Wealthy Defender
Girl/Female
Assamese, Hindu, Indian, Kannada, Malayalam, Marathi, Sindhi, Tamil, Telugu
Goddess Laxmi
Girl/Female
Muslim/Islamic
Sweet
Boy/Male
Australian, French, German, Latin, Spanish
Upright; Righteous; Fair; Form of Just
Boy/Male
Muslim
Boy/Male
Hindu, Indian, Marathi
Very Happy
Girl/Female
Arabic, Indian
Heaven
Boy/Male
Arabic, Muslim
Greyness; Senility; Old Age; Name of a Sahabi RA
Boy/Male
Muslim
Calm, Peaceful
ONE WAY-FUNCTION
ONE WAY-FUNCTION
ONE WAY-FUNCTION
ONE WAY-FUNCTION
ONE WAY-FUNCTION
indef. pron.
Any person, indefinitely; a person or body; as, what one would have well done, one should do one's self.
n.
That by, upon, or along, which one passes or processes; opportunity or room to pass; place of passing; passage; road, street, track, or path of any kind; as, they built a way to the mine.
v. i.
To deviate from the right way; to go away or astray; to turn side; to swerve.
v. t.
To go or travel to; to go in, as a way or path.
v. i.
To pass from one state to another; to become; to grow; as, to wax strong; to wax warmer or colder; to wax feeble; to wax old; to wax worse and worse.
n.
Progress; as, a ship has way.
v. t.
To move one way and the other with quick turns; to shake to and fro; to move vibratingly; to cause to vibrate, as a part of the body; as, to wag the head.
n.
Way; road; path.
n.
Right of way. See below.
n.
Determined course; resolved mode of action or conduct; as, to have one's way.
adv.
Away.
a.
Going away; departing; of or pertaining to one who goes away.
v. i.
To move one way and the other; to be shaken to and fro; to vibrate.
v. t.
To impose, as a command or a duty; as, to lay commands on one.
n.
The merrymaking of May Day.
n.
Manner; method; mode; fashion; style; as, the way of expressing one's ideas.
v. t.
To present or offer; as, to lay an indictment in a particular county; to lay a scheme before one.
a.
Skillful in finding the way; well acquainted with the way or route; wise from having traveled.
n.
Length of space; distance; interval; as, a great way; a long way.
superl.
Turned to one side; twisted; distorted; as, a wry mouth.