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Algorithm in computational number theory
and computational algebra, Pollard's kangaroo algorithm (also Pollard's lambda algorithm, see Naming below) is an algorithm for solving the discrete logarithm
Pollard's_kangaroo_algorithm
Integer factorization algorithm
Pollard's rho algorithm is an algorithm for integer factorization. It was invented by John Pollard in 1975. It uses only a small amount of space, and its
Pollard's_rho_algorithm
Topics referred to by the same term
Several algorithms created by British mathematician John Pollard: Pollard's kangaroo algorithm Pollard's p − 1 algorithm Pollard's rho algorithm Pollard (coin)
Pollard
division algorithm: for polynomials in several indeterminates Pollard's kangaroo algorithm (also known as Pollard's lambda algorithm): an algorithm for solving
List_of_algorithms
British mathematician
improved by others. His discrete logarithm algorithms include the rho algorithm for logarithms and the kangaroo algorithm. He received the RSA Award for Excellence
John_Pollard_(mathematician)
Problem of inverting exponentiation in groups
calculus algorithm Number field sieve Pohlig–Hellman algorithm Pollard's rho algorithm for logarithms Pollard's kangaroo algorithm (aka Pollard's lambda
Discrete_logarithm
Offset logarithmic integral pH Plethystic logarithm Pollard's kangaroo algorithm Pollard's rho algorithm for logarithms Polylogarithm Polylogarithmic function
Index_of_logarithm_articles
Password cracking dataset
character NTLM passwords. A5/1 Brute-force attack DistrRTgen Pollard's kangaroo algorithm Oechslin, P. (2003). "Making a Faster Cryptanalytic Time-Memory
Rainbow_table
Scientific area at the interface between computer science and mathematics
division algorithm: for polynomials in several indeterminates Pollard's kangaroo algorithm (also known as Pollard's lambda algorithm): an algorithm for solving
Computer_algebra
Schoof's algorithm Elliptic curve cryptography Baby-step giant-step Public key cryptography Schoof–Elkies–Atkin algorithm Pollard rho Pollard kangaroo Elliptic
Counting points on elliptic curves
Counting_points_on_elliptic_curves
On finding a repeating loop in a sequence
number-theoretic algorithms are based on cycle detection, including Pollard's rho algorithm for integer factorization and his related kangaroo algorithm for the
Cycle_detection
Decomposition of a number into a product
Brent. Algebraic-group factorization algorithms, among which are Pollard's p − 1 algorithm, Williams' p + 1 algorithm, and Lenstra elliptic curve factorization
Integer_factorization
Card trick and probabilistic concept
Ergodic theory Geometric distribution Overlapping instructions Pollard's kangaroo algorithm Random walk Self-synchronizing code According to Diaconis & Graham
Kruskal_count
Probabilistic algorithm for computing discrete logarithms
In computational number theory, the index calculus algorithm is a probabilistic algorithm for computing discrete logarithms. Dedicated to the discrete
Index_calculus_algorithm
Best results achieved to date
Challenge. To set a new record, they used their own software based on the Pollard Kangaroo on 256x NVIDIA Tesla V100 GPU processor and it took them 13 days. Two
Discrete_logarithm_records
converse is not necessarily true. Grantham's stated goal when developing the algorithm was to provide a test that primes would always pass and composites would
Quadratic_Frobenius_test
British government recognitions
Mont Albert, Victoria. For public service. Bernard Curren Masterson, of Kangaroo Flat, Victoria. For public service. Victor James Meehan, of Shelley, Western
1977 Silver Jubilee and Birthday Honours
1977_Silver_Jubilee_and_Birthday_Honours
POLLARDS KANGAROO-ALGORITHM
POLLARDS KANGAROO-ALGORITHM
Surname or Lastname
Catalan and Southern French (Rodés)
Catalan and Southern French (Rodés) : habitational name from any of several places named Rodés, mainly those in El Pallars and El Conflent districts, in northern Catalonia. This has the same origin as Occitan Rodés (Rodez in French), in Avairon department (southern France), which is first recorded in the 6th century in the Latin form Rutensis, apparently from the name of the Gaulish tribal name Ruteni.Catalan : variant of Roda, from Catalan rodes, the plural of roda ‘wheel’.English : variant of Rhodes.
Surname or Lastname
English
English : variant of Holland 1.Dutch : variant of Holland 2.Dutch : habitational name from places called Holland in northern France, named with Middle Dutch onland(e) ‘marsh’.
Surname or Lastname
English
English : variant of Wolford.
Surname or Lastname
German (of Slavic origin)
German (of Slavic origin) : from a pet form of the personal name Pavel or Paweł, respectively the Czech and Polish forms of Paul, or from a Sorbian cognate.German (of Slavic origin) : nickname for a small man, from Slavic palac ‘thumb’.Irish : MacLysaght ascribes the origin of this surname in Ireland to the arrival there in the 15th century of a Lombard family of bankers named de Palatio.English : from Old French palis, paleis ‘palisade’, ‘fence’, hence a topographic name for someone who lived by a palisade or a metonymic occupational name for a maker of fences.English : possibly a metonymic occupational name for someone who worked at a palace (bishop’s, archbishop’s, or royal), from Old French, Middle English palais, paleis.English : metonymic occupational name for a worker at a straw stack, from Old French paille ‘straw’ + Middle English hous ‘house’.Greek : ornamental name or nickname from Albanian pallë ‘sword’.Catalan (Pallà s) : variant spelling of Pallars, a regional name from the Catalan district of Pallars, in the Pyrenees.
Surname or Lastname
English
English : nickname for someone with close-cropped hair or a large head, Middle English bolling ‘pollard’, or for a heavy drinker, from Middle English bolling ‘excessive drinking’.German (Bölling) : from a pet form of a personal name formed with Germanic bald ‘bold’, ‘brave’ (see Baldwin).Swedish : either an ornamental name composed of Boll + the suffix -ing ‘belonging to’, or possibly a habitational name from a place named Bolling(e).
Surname or Lastname
English
English : nickname from Middle English dull + -ard ‘dull or stupid person’. Compare Doll 5.Irish : either an importation to Ireland of the English name or, possibly, a reduced and altered form of de la Hyde (see Dollarhide).
Surname or Lastname
English
English : unexplained; possibly a variant of Dollard. The name was in VA by 1698.
Boy/Male
British, English
Shorn Head
Surname or Lastname
English and French
English and French : from the personal name Coll + the pejorative suffix -ard.
Boy/Male
British, English
Shorn Head
Surname or Lastname
English
English : nickname from Middle English loller ‘indolent fellow’, a derivative of lolle ‘to droop, dangle, or loll’.English : nickname from Middle English lollere ‘mumbler’, bestowed on a pious person or on a Lollard (a follower of the 14th-century religious reformer John Wyclif).
Surname or Lastname
English
English : nickname for a person with a large or unusually shaped head, from Middle English poll ‘head’ (Middle Low German polle ‘(top of the) head’) + the pejorative suffix -ard. The term pollard in the sense denoting an animal that has had its horns lopped is not recorded before the 16th century, and as applied to a tree the word is not recorded until the 17th century; so both these senses are almost certainly too late to have contributed to the surname.English : pejorative derivative of the personal name Paul. The surname has been established in Ireland since the 14th century.
Female
English
The origin of the American southern "Dixie" is uncertain; however, Louisiana dollars had the French word dix printed on them, DIXIE means "tenth," and this may have been what inspired the song about "the land of dixies," and later the name itself.
Surname or Lastname
English (Gloucestershire)
English (Gloucestershire) : from Middle English soler ‘solar’, ‘upper floor of a house’ (Old English solor), probably an occupational name for a servant whose duties were centered in the upper part of a house.
Surname or Lastname
English and Irish
English and Irish : according to MacLysaght, this is a surname of Dutch origin which was taken to Ireland early in the 18th century.French : from a personal name composed of the Germanic elements boll ‘friend’, ‘brother’ + hard ‘hardy’, ‘strong’.
Boy/Male
British, English, Teutonic
Short Haired
POLLARDS KANGAROO-ALGORITHM
POLLARDS KANGAROO-ALGORITHM
Boy/Male
Tamil
Sea shore. from kinnara, Which is a Bengali word meaning bank/shore
Boy/Male
Indian, Sanskrit
Silken; Skill
Boy/Male
Hindu
One of the kauravas
Boy/Male
Hebrew
First born.
Surname or Lastname
English
English : from a pet form of Wynn.
Girl/Female
Arabic
Bless; Destiny
Surname or Lastname
English
English : unexplained; possibly a variant of Scaife.Dutch (Belgium) : from German schaf, hence a metonymic occupational name for a shepherd or a nickname for someone thought to resemble a sheep in some way.
Boy/Male
Muslim
Girl/Female
Muslim/Islamic
Best good, virtuous
Girl/Female
Hindu, Indian
Moon
POLLARDS KANGAROO-ALGORITHM
POLLARDS KANGAROO-ALGORITHM
POLLARDS KANGAROO-ALGORITHM
POLLARDS KANGAROO-ALGORITHM
POLLARDS KANGAROO-ALGORITHM
n.
A hornless animal (cow or sheep).
n.
The hare kangaroo.
n.
A species of kangaroo (Macropus Brunii), inhabiting New Guinea.
n.
Any Australian kangaroo of the genus Petrogale, as the rock wallaby (P. penicillata).
n.
Any one of numerous species of jumping marsupials of the family Macropodidae. They inhabit Australia, New Guinea, and adjacent islands, They have long and strong hind legs and a large tail, while the fore legs are comparatively short and feeble. The giant kangaroo (Macropus major) is the largest species, sometimes becoming twelve or fourteen feet in total length. The tree kangaroos, belonging to the genus Dendrolagus, live in trees; the rock kangaroos, of the genus Petrogale, inhabit rocky situations; and the brush kangaroos, of the genus Halmaturus, inhabit wooded districts. See Wallaby.
n.
A fish, the chub.
n.
genus of marsupials including the common kangaroo.
n.
The doctrines or principles of the Lollards.
n.
A small, leaping Australian marsupial of the genus Bettongia; the jerboa kangaroo.
imp. & p. p.
of Pollard
n.
A Lollard.
n.
A stag that has cast its antlers.
n.
Any small kangaroo belonging to Hypsiprymnus, Bettongia, and allied genera, native of Australia and Tasmania. Called also kangaroo rat.
n.
Alt. of Lollardy
n.
A large male kangaroo.
v. t.
To lop the tops of, as trees; to poll; as, to pollard willows.
p. pr. & vb. n.
of Pollard
n.
A bollard timber. See under Bollard.
n. pl.
Young cabbage, used as "greens"; esp. a kind cultivated for that purpose; colewort.