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Study of the properties of codes and their fitness
Coding theory is the study of the properties of codes and their respective fitness for specific applications. Codes are used for data compression, cryptography
Coding_theory
Theory of cognition
Dual coding theory is a theory of cognition that suggests that the mind processes information along two different channels; verbal and nonverbal. It was
Dual-coding_theory
Type of error correcting code
and 5G New Radio (NR) Polar Coding with MATLAB®) and three appendices (Conceptual Channels in 5G New Radio, Channel Coding from 2G to 5G and Scripts),
Polar_code_(coding_theory)
Theory of brain function
Predictive coding is one member of a wider set of theories that follow the Bayesian brain hypothesis. Theoretical ancestors to predictive coding date back
Predictive_coding
Scientific study of digital information
Information theory has been used in a wide range of applications, such as source coding/data compression (e.g. for ZIP files), and channel coding/error detection
Information_theory
Limit on data transfer rate
In information theory, the noisy-channel coding theorem (sometimes Shannon's theorem or Shannon's limit), establishes that for any given degree of noise
Noisy-channel_coding_theorem
Cognitive psychology theory
Common coding theory is a cognitive psychology theory describing how perceptual representations (e.g. of things we can see and hear) and motor representations
Common_coding_theory
Scheme for controlling errors in data over noisy communication channels
computing, telecommunication, information theory, and coding theory, forward error correction (FEC) or channel coding is a technique used for controlling errors
Error_correction_code
Psychological phenomenon
pictures are coded more easily and can be retrieved from symbolic mode, while the dual coding process using words is more difficult for both coding and retrieval
Picture_superiority_effect
Cognitive and clinical psychology theory
Multiple code theory (MCT) is a theory that conceives of the human brain as processing information in three codes. A certain issue can be coded in three
Multiple_code_theory
Canadian psychologist and writer (1925–2016)
representations: A dual coding approach. New York: Oxford University Press Clark, J.M., & Paivio, A. (1991). Dual coding theory and education. Educational
Allan_Paivio
Topics referred to by the same term
programs Line coding, in data storage Source coding, compression used in data transmission Coding theory Channel coding Encryption coding, a process of
Coding
Lossless data compression scheme
In information theory, an entropy coding (or entropy encoding) is any lossless data compression method that attempts to approach the lower bound declared
Entropy_coding
Study of computation
and on reliably storing and communicating data. Coding theory is the study of the properties of codes (systems for converting information from one form
Computer_science
Branch of discrete mathematics
computational complexity theory. Coding theory started as a part of design theory with early combinatorial constructions of error-correcting codes. The main idea
Combinatorics
selection during the process of production for a bilingual. The dual-coding theory was first postulated by Paivio and Desrochers in 1980, and indicates
Bilingual_memory
Compact encoding of digital data
In information theory, data compression, source coding, or bit-rate reduction is the process of encoding information using fewer bits than the original
Data_compression
Communication framework
Speech codes theory refers to a framework for communication in a given speech community. As an academic discipline, it explores the manner in which groups
Speech_codes_theory
Code added to allow recovery of lost data
In coding theory, an erasure code is a forward error correction (FEC) code under the assumption of bit erasures (rather than bit errors), which transforms
Erasure_code
Establishes the limits to possible data compression
In information theory, Shannon's source coding theorem (or noiseless coding theorem) establishes the statistical limits to possible data compression for
Shannon's source coding theorem
Shannon's_source_coding_theorem
Subfield of computer science and mathematics
sub-fields of information theory are source coding, channel coding, algorithmic complexity theory, algorithmic information theory, information-theoretic
Theoretical_computer_science
Technique to compress data
symbols separately, Huffman coding is not always optimal among all compression methods – it is replaced with arithmetic coding if a better compression ratio
Huffman_coding
Implicit representation of LGBT characters
Queer coding may have had a negative impact on perceptions of queerness in media as villains in fictional stories are often queer-coded. Queer coding is
Queer_coding
Data compression algorithms
Shannon–Fano coding should not be confused with Shannon–Fano–Elias coding (also known as Elias coding), the precursor to arithmetic coding. Regarding the
Shannon–Fano_coding
Academic journal
van Lint, it is the leading research journal in the whole field of coding theory. A 2006 study using the PageRank network analysis algorithm found that
IEEE Transactions on Information Theory
IEEE_Transactions_on_Information_Theory
Type of linear error-correcting code
page" in coding theory. There are two closely related binary Golay codes. The extended binary Golay code, G24 (sometimes just called the "Golay code" in finite
Binary_Golay_code
Theoretical model of sensory neuroscience
optimized for coding images (or sounds) representative of those found in nature. Researchers have shown that filters optimized for coding natural images
Efficient_coding_hypothesis
Slepian and Jack Wolf discover and prove the Slepian–Wolf coding limits for distributed source coding 1976 – Gottfried Ungerboeck gives the first paper on
Timeline of information theory
Timeline_of_information_theory
Computer Networking Program
coding is a program in which intermediate nodes transmit data from source nodes to sink nodes by means of linear combinations. Linear network coding may
Linear_network_coding
Linear error correcting code
turbo codes, they have gained prominence in coding theory and information theory since the late 1990s. The codes today are widely used in applications ranging
Low-density_parity-check_code
notable unsolved problems in information theory. These are separated into source coding and channel coding. There are also related unsolved problems
List of unsolved problems in information theory
List_of_unsolved_problems_in_information_theory
Number of bits that differ between two strings
mathematician Richard Hamming. A major application is in coding theory, more specifically to block codes, in which the equal-length strings are vectors over
Hamming_distance
Type of code in coding theory
In coding theory, especially in telecommunications, a self-synchronizing code is a uniquely decodable code in which the symbol stream formed by a portion
Self-synchronizing_code
Reliable digital data delivery methods on unreliable channels
In information theory and coding theory with applications in computer science and telecommunications, error detection and correction (EDAC) or error control
Error detection and correction
Error_detection_and_correction
Binary Golay code Binary Goppa code Bipolar violation CRHF Casting out nines Check digit Chien's search Chipkill Cksum Coding gain Coding theory Constant-weight
List of algebraic coding theory topics
List_of_algebraic_coding_theory_topics
Set of codewords, none a prefix of another
codes include Huffman codes and the earlier Shannon–Fano codes, and universal codes such as: Elias delta coding Elias gamma coding Elias omega coding
Prefix_code
Well-spaced set of points in a metric space
well-spaced they are. These sets have applications in coding theory, approximation algorithms, and the theory of quasicrystals. If (M, d) is a metric space,
Delone_set
In coding theory, the dual code of a linear code C ⊂ F q n {\displaystyle C\subset \mathbb {F} _{q}^{n}} is the linear code defined by C ⊥ = { x ∈ F q
Dual_code
Causing rape of trans prisoners for social control
to V-coding since the beginning of Trump's second presidency. The dictionary definition of v-coding at Wiktionary Corrective rape "How 'V-Coding' Demonstrates
V-coding
Error-correcting codes
In information theory and coding theory, Reed–Solomon codes are a group of error-correcting codes that were introduced by Irving S. Reed and Gustave Solomon
Reed–Solomon_error_correction
English mathematician (1937–2020)
mathematician. He was active in the theory of finite groups, knot theory, number theory, combinatorial game theory and coding theory. He also made contributions
John_Horton_Conway
System of rules to convert information into another form or representation
process, converting code symbols back into a form that the recipient understands, such as English, Spanish, etc. One reason for coding is to enable communication
Code
Modulation scheme in telecommunication
Ungerboeck, "Channel coding with multilevel/phase signals," IEEE Trans. Inf. Theory, vol. IT-28, pp. 55–67, 1982. G. Ungerboeck, "Trellis-coded modulation with
Trellis_coded_modulation
Simple but inefficient error-correcting code
In coding theory, the repetition code is one of the most basic linear error-correcting codes. In order to transmit a message over a noisy channel that
Repetition_code
Study of discrete mathematical structures
computational topics. Information theory involves the quantification of information. Closely related is coding theory which is used to design efficient
Discrete_mathematics
Qualitative research methodology
after open coding, by making connections between categories." Glaser proposed a similar concept called theoretical coding. Theoretical codes help to develop
Grounded_theory
Method for encoding data in communications
In coding theory, a constant-weight code, also called an m-of-n code or m-out-of-n code, is an error detection and correction code where all codewords
Constant-weight_code
Class of codes in coding theory
In coding theory, fountain codes (also known as rateless erasure codes) are a class of erasure codes with the property that a potentially limitless sequence
Fountain_code
Algebraic structure with addition, multiplication, and division
equation of the form y2 = x3 + ax + b. Finite fields are also used in coding theory and combinatorics. Functions on a suitable topological space X into
Field_(mathematics)
Indian-born American computer scientist (1933–2024)
scientist recognized for foundational contributions to error-control coding, coding theory, and arithmetic processor reliability. A Fellow of both the Institute
T._R._N._Rao
Entropy encoding
. Although it is the optimal symbol-by-symbol coding for such probability distributions, Golomb coding achieves better compression capability for the
Unary_coding
American mathematician (1932–2016)
1953. He specialized in problems of combinatorial analysis, number theory, coding theory, and communications. Pentomino board games, based on his work, would
Solomon_W._Golomb
In statistics and coding theory, a Hamming space is usually the set of all 2 N {\displaystyle 2^{N}} binary strings of length N, where different binary
Hamming_space
Type of block code
In coding theory, a cyclic code is a block code, where the circular shifts of each codeword gives another word that belongs to the code. They are error-correcting
Cyclic_code
Family of linear error-correcting codes
error has occurred. Coding theory Gray code Golay code Hamming bound Hamming distance Low-density parity-check code Reed–Muller code Reed–Solomon error
Hamming_code
Family of error-correcting codes that encode data in blocks
In coding theory, block codes are a large and important family of error-correcting codes that encode data in blocks. There is a vast number of examples
Block_code
American mathematician (1940–2019)
Block coding with noiseless feedback. Thesis, Massachusetts Institute of Technology, Dept. of Electrical Engineering, 1964. Algebraic Coding Theory, New
Elwyn_Berlekamp
American mathematician
as well as earlier work in random matrix theory, coding theory, lattices, and quantum information theory. Rains began classes at Case Western Reserve
Eric_M._Rains
Common communications channel model
(or BSCp) is a common communications channel model used in coding theory and information theory. In this model, a transmitter wishes to send a bit (a zero
Binary_symmetric_channel
In coding theory, telecommunications engineering and other related engineering problems, coding gain is the measure in the difference between the signal-to-noise
Coding_gain
coding: adaptive coding technique based on Huffman coding Package-merge algorithm: Optimizes Huffman coding subject to a length restriction on code strings
List_of_algorithms
Lossless data compression algorithm
contain repeats, where the entropy-coding cost of "spelling out" the repeats is less than the cost creating and entropy-coding a rule to capture them. (In general
Grammar-based_code
In coding theory, concatenated codes form a class of error-correcting codes that are derived by combining an inner code and an outer code. They were conceived
Concatenated error correction code
Concatenated_error_correction_code
of error-correcting codes, as used in coding theory for data transmission or communications. Let C {\displaystyle C} be a q-ary code of length n {\displaystyle
Johnson_bound
Type of data compression
AAC). In the case of audio data, a popular form of transform coding is perceptual coding, which transforms the raw data to a domain that more accurately
Lossy_compression
Class of error-correcting code
In coding theory, a linear code is an error-correcting code for which any linear combination of codewords is also a codeword. Linear codes are traditionally
Linear_code
American electrical engineer (born 1940)
made contributions in telecommunication system theory, specifically in coding theory and information theory. Forney received the B.S.E. degree in electrical
Dave_Forney
Lossless data compression method
this set of codes in an adaptive coding scheme; "Rice coding" can refer either to that adaptive scheme or to using that subset of Golomb codes. Whereas a
Golomb_coding
Sequence of digital values used for synchronisation
17th International Conference Radioelektronikachapter = CCK and Barker Coding Implementation in IEEE 802.11b Standard. pp. 1–4. doi:10.1109/RADIOELEK
Barker_code
Error correction code
In coding theory, the Bose–Chaudhuri–Hocquenghem codes (BCH codes) form a class of cyclic error-correcting codes that are constructed using polynomials
BCH_code
Mathematician, programmer
of coding theory, and was one of the first women to publish in the field. MacWilliams' thesis "Combinatorial Problems of Elementary Group Theory" (or
Jessie_MacWilliams
Australian mathematician
an Australian mathematician who works in group theory, combinatorics, coding theory, and model theory. He is currently Emeritus Professor at the University
Peter_Cameron_(mathematician)
Theory of subatomic structure
In physics, string theory is a theoretical framework in which the point-like particles of particle physics are replaced by one-dimensional objects called
String_theory
Encoding which maps information to a variable number of bits
In coding theory, variable-length encoding is a type of character encoding scheme in which codes of differing lengths are used to encode a character set
Variable-length_encoding
American mathematician
Dean of Natural Sciences. His contributions to coding and information theory won the IEEE Information Theory Society Paper Award in 1995 and 1999. He was
Robert_Calderbank
Coding tree unit (CTU) is the basic processing unit of the High Efficiency Video Coding (HEVC) video standard and conceptually corresponds in structure
Coding_tree_unit
American mathematician (1923–2013)
mathematician and coding theorist, a longtime researcher at Bell Laboratories. His accomplishments include the Gilbert–Varshamov bound in coding theory, the Gilbert–Elliott
Edgar_Gilbert
Abstraction of linear independence of vectors
applications in geometry, topology, combinatorial optimization, network theory, and coding theory. There are many equivalent ways to define a (finite) matroid.
Matroid
American mathematician (born 1957)
Lander studied combinatorics and applications of representation theory to coding theory. He enjoyed mathematics but did not wish to spend his life in such
Eric_Lander
Algebraic structure
computer science, including number theory, algebraic geometry, Galois theory, finite geometry, cryptography and coding theory. A finite field is a field that
Finite_field
Set of "near" codewords in coding theory
In coding theory, a covering code is a set of elements (called codewords) in a space, with the property that every element of the space is within a fixed
Covering_code
Theorem that tells the maximum rate at which information can be transmitted
noisy-channel coding theorem. This text also discusses state-of-the-art methods from coding theory, such as low-density parity-check codes, and Turbo codes. MIT
Shannon–Hartley_theorem
Mathematical linear code
Goppa codes are a distinct class of codes which were also constructed by Goppa in the early 1970s. These codes attracted interest in the coding theory community
Algebraic_geometry_code
Physical theory with fields invariant under the action of local "gauge" Lie groups
In physics, a gauge theory is a type of field theory in which the Lagrangian, and hence the dynamics of the system itself, does not change under local
Gauge_theory
Signal coding technique
In coding theory, puncturing is the process of removing some of the parity bits after encoding with an error-correction code. This has the same effect
Punctured_code
theory Coding theory Cohomology theory Theory of Computation Continuum theory Control theory Deformation theory Dempster–Shafer theory Dimension theory Distribution
List_of_mathematical_theories
Collection of random variables
In probability theory and related fields a stochastic (/stəˈkæstɪk/) or random process is a mathematical object usually defined as a family of random variables
Stochastic_process
Supposition or system of ideas intended to explain something
Approximation theory — Arakelov theory — Asymptotic theory — Bifurcation theory — Catastrophe theory — Category theory — Chaos theory — Choquet theory — Coding theory
Theory
Russian mathematician (1935–2017)
systematic codes", Doklady Akademii Nauk SSSR, 131 (5): 1011–1014 V.I. Levenshtein, Application of Hadamard matrices to a problem in coding theory, Problems
Vladimir_Levenshtein
Theory in statistics
significance in classical coding theory. In coding theory, association scheme theory is mainly concerned with the distance of a code. The linear programming
Association_scheme
Branch of mathematics concerning probability
Probability theory or probability calculus is the branch of mathematics concerned with probability. Although there are several different probability interpretations
Probability_theory
Sequence of operations for a task
computer program, the following is the more formal coding of the algorithm in pseudocode or pidgin code: Algorithm LargestNumber Input: A list of numbers
Algorithm
Error-correcting code
Hadamard code is not only used by engineers, but also intensely studied in coding theory, mathematics, and theoretical computer science. The Hadamard code is
Hadamard_code
Model of noisy digital information transfer and storage.
In coding theory and information theory, a binary erasure channel (BEC) is a communications channel model. A transmitter sends a bit (a zero or a one)
Binary_erasure_channel
science and information theory, Tunstall coding is a form of entropy coding used for lossless data compression. Tunstall coding was the subject of Brian
Tunstall_coding
Part of coding theory
In coding theory, a parity-check matrix of a linear block code C is a matrix which describes the linear relations that the components of a codeword must
Parity-check_matrix
Periodic set of points
algebras, number theory and group theory. They also arise in applied mathematics in connection with coding theory, in percolation theory to study connectivity
Lattice_(group)
In geometry and coding theory, a spherical code with parameters (n,N,t) is a set of N points on the unit hypersphere in n dimensions for which the dot
Spherical_code
German mathematician, specialist in combinatorics
interest in coding theory. In September 1990 University of Vermont was the site of a conference concerned with the mathematics of coding theory, and commemorating
Dieter_Jungnickel
Performance metric for lossless compression
undefined, or negative (even if better than positive). Benchmark Coding theory Information theory Phred quality score Perry, Tekla (July 28, 2014). "A Fictional
Weissman_score
CODING THEORY
CODING THEORY
Girl/Female
Bengali, Gujarati, Hindu, Indian, Japanese
Sweet; Loving and Caring; Pretty
Surname or Lastname
English
English : variant of Colling.
Surname or Lastname
English
English : habitational name from places in Oxfordshire and West Sussex named Goring, from Old English GÄringas ‘people of GÄra’, a short form of the various compound names with the first element gÄr ‘spear’.German (Göring) : see Goering.
Girl/Female
Arabic, Australian
Enchanting; Kind; Loving; Caring
Female
English
Variant spelling of English Colleen, COLINE means "girl."
Female
Scottish
Scottish feminine form of English Rodney, RODINA means "Hroda's fen/island."
Girl/Female
Arabic, Indian, Muslim
Caring; Loving
Boy/Male
Muslim
Loving, Caring, Daring
Female
French
Variant spelling of French Corinne, CORINE means "maiden."
Boy/Male
Indian
Loving, Caring, Daring
Surname or Lastname
Danish
Danish : probably a habitational name from Kolding. This was originally the name of a river, from kaldr ‘cold’ + a derivational suffix -ung, hence ‘the cold river’.English : perhaps a spelling variant of Golding.
Surname or Lastname
English (Yorkshire)
English (Yorkshire) : from a double diminutive of Codd.English (Yorkshire) : from Old French ceur de lion ‘lion heart’, applied as a nickname for a brave man, or ironically for an exceptionally timorous one.
Surname or Lastname
English
English : variant of Gooding.German (Göding) : variant of Godding.
Surname or Lastname
English
English : from the Old Norse personal name Kollungr, a derivative of Koli, or from an Old English cognate, Colling, a derivative of Cola (see Cole 2).English : from a pet form of Coll 1.Altered spelling of German Kölling (see Kolling).
Boy/Male
Muslim/Islamic
Loving Caring, Daring
Surname or Lastname
English
English : from a medieval personal name, originally an Old English patronymic from the personal names Cūl(a) or Cēola. The former may be from a Germanic root kūl ‘swollen’; the latter is a short form of various compound names with the first element cēol ‘ship’.English : habitational name from a place in Kent named Cooling, from the Old English tribal name Cūlingas ‘people of Cūl(a)’.
Girl/Female
Arabic, Muslim
Caring; Loving
Boy/Male
Arabic, Muslim, Pashtun
Loving and Caring
Surname or Lastname
English (Somerset)
English (Somerset) : unexplained.
Surname or Lastname
English
English : from the late Old English personal name Golding, in form a patronymic from Golda (see Gold 4).German : patronymic from a short form of a Germanic personal name formed with gold, guld ‘gold’, ‘bright’.Jewish (from Latvia and Lithuania) : habitational name from Golding, the German and Yiddish name of the city of Kuldīga in Latvia.
CODING THEORY
CODING THEORY
Surname or Lastname
Irish
Irish : reduced Anglicized form of Gaelic Ó hEachthighearna ‘descendant of Eachthighearna’, a personal name meaning ‘lord of horses’, from each ‘horse’ + tighearna ‘master’, ‘lord’. This name is most common in southwestern Ireland.Irish : Anglicized form of Gaelic Ó hUidhrÃn (see Herron).English : variant of Heron 1.English : topographic name for someone who lived by a bend in a river or in a recess in a hill, both of which are meanings of Middle English herne (Old English hyrne). It may also be a habitational name from any of the various places, such as Herne in Kent and Hurn in Dorset, which are named with the Old English word. Its exact original sense and its etymology are not clear; it may be a derivative of horn ‘horn’.English : habitational name from Herne in Bedfordshire, so called from the dative plural (originally used after a preposition) of Old English hær ‘stone’.
Boy/Male
Indian, Sanskrit, Tamil, Traditional
High Virtue
Girl/Female
Australian, Jamaican, Latin
Fragrant
Girl/Female
Muslim
Daughter of al Mahdi (Daughter of al-mahdi)
Male
English
English unisex name, derived from the Old French word merle, MERLE means "blackbird." It first came to public notice in the 1930s with the actress Merle Oberon, and is mostly given to girls.
Boy/Male
Tamil
Gangadhara | கஂகாதரா
Lord of river Ganga, Lord Shiva
Girl/Female
Indian
Starting place of the river Ganga
Boy/Male
Australian, French, German
Little Archer; Yew Wood; Yew Wood was Used for Bows
Girl/Female
Australian, Indonesian, Malaysian
Pure
Boy/Male
Hindu, Indian, Nepali
Peacock; Son of Lord Indra; One of the Pandavas Brother
CODING THEORY
CODING THEORY
CODING THEORY
CODING THEORY
CODING THEORY
n.
Alt. of Codling
p. pr. & vb. n.
of Bode
n.
A stone for coping. See Coping.
a.
Ever closing.
v. t.
A roll of wool or other fiber as it comes from the carding machine.
p. pr. & vb. n.
of Cow
n.
Coming.
n.
A prognostic; an omen; a foreboding.
n.
A coat or covering; a layer of any substance, as a cover or protection; as, the coating of a retort or vial.
a.
Foreshowing; presaging; ominous.
a.
The act or process of preparing staple for spinning, etc., by carding it. See the Note under Card, v. t.
n.
Any boxlike inclosure or recess; a casing.
p. pr. & vb. n.
of Cede
a.
Approaching; of the future, especially the near future; the next; as, the coming week or year; the coming exhibition.
n.
Approach; advent; manifestation; as, the coming of the train.
n.
A hole made by boring.
n.
The act or process of one who, or that which, bores; as, the boring of cannon; the boring of piles and ship timbers by certain marine mollusks.
p. pr. & vb. n.
of Coy
n.
The chips or fragments made by boring.
a.
Boding evil; inauspicious; ill-omened.