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{{Short description|Study of the tropical semiring}} ...iscipline of [[idempotent analysis]], '''tropical analysis''' is the study of the [[tropical semiring]]. ...

...{{ISBN|1-58488-127-5}}</ref><ref name="schneier">Bruce Schneier, ''Applied Cryptography: Protocols, Algorithms, and Source Code in C'', pages 463-464, Wiley; 2nd e ...wing [[Python (programming language)|Python]] source code tests a sequence of numbers to determine if it is superincreasing: ...

In [[computational complexity theory]] and [[cryptography]], '''averaging argument''' is a standard argument for proving theorems. It ...of the books in a library, then the library has a book, which at least 1/3 of people like. ...

In [[cryptography]], the '''hybrid argument''' is a proof technique used to show that two dis ...rint.iacr.org/2004/331.pdf Code-based game-playing proofs and the security of triple encryption.]" Cryptology ePrint Archive (2004)</ref> ...

...air (''x'', ''y'') is then called a ''claw''. Some problems, especially in cryptography, are best solved when viewed as a claw finding problem, hence any algorithm .../math>. So if <math>|A| \cdot |B| \geq |C|</math>, the [[expected number]] of claws is at least 1. ...

{{Short description|Number of bits needed to represent an integer datum or message in computing and commu ...sdate=10 Jan 2012}}</ref> as a [[binary number]]. Formally, the bit length of a natural number <math>n \geq 0</math> is ...

...Computer Science, 1982.</ref> against pseudo-random sequences. A sequence of words passes Yao's test if an attacker with reasonable computational power ...collection <math>C=\{C_k\}</math> is a collection of [[boolean circuits]] of size less than <math>P_C(k)</math>. Let <math>p_{k,S}^C</math> be the proba ...

*[[Cryptography]] *[[University of Manitoba]] ...

...eems much more difficult<ref name="bonehMultilinear" /> and the security of the proposed candidates is still unclear.<ref name="AlbrechtSite" /> ...s of prime order <math>q</math>, and <math>G_T</math> another cyclic group of order <math>q</math> written multiplicatively. A pairing is a map: <math> e ...

...orn 1951, in [[Vermont]]) is an American mathematician at the [[University of Maryland]] who specializes in [[number theory]]. ...[University of Perugia]], [[Nankai University]] and the [[State University of Campinas]]. In 1979–1981 he was a [[Sloan Fellowship|Sloan Fellow]].{{cn|da ...

{{Short description|Type of elliptic curve}} ...ralization of [[Hessian curve]]s; they were introduced in [[elliptic curve cryptography]] to speed up the addition and doubling formulas and to have strongly unifi ...

{{Short description|Theory of cryptography}} ...|The sponge construction for hash functions. ''P_i'' are blocks of the input string, ''Z_i'' are hashed output blocks.]] ...

...ithm]] or [[RSA (algorithm)|RSA]]. [[NIST]] has approved specific variants of the Merkle signature scheme in 2020.<ref>{{cite web | url=https://csrc.nist ...isdom.weizmann.ac.il/~naor/PAPERS/uowhf.pdf |journal=[[Symposium on Theory of Computing]] |pages=33–43}}</ref> ...

[[File:An illustration of the carry-less product.svg|thumb|right|Computing the carry-less product.]] The '''carry-less product''' of two [[binary number]]s ...

...e who have voted. The protocol can be generalized to support a wider range of inputs beyond just the binary values 0 and 1. ...p <math>\scriptstyle G</math> with a generator <math>\scriptstyle g</math> of prime order <math>\scriptstyle q</math> in which the [[discrete logarithm]] ...

...(XOF): it can accept input of any length and process it to produce output of any length. Mask generation functions are completely deterministic: for any ...ring output is completely determined by the input octet string. The output of a mask generation function should be pseudorandom, that is, if the seed to ...

In [[cryptography]], the '''Niederreiter cryptosystem''' is a variation of the [[McEliece cryptosystem]] developed in 1986 by [[Harald Niederreiter]]. |journal=Problems of Control and Information Theory. Problemy Upravlenija I Teorii Informacii ...

...fields generated by torsion points. They play a central role in the study of [[counting points on elliptic curves]] in [[Schoof's algorithm]]. The set of division polynomials is a sequence of [[polynomials]] in <math>\mathbb{Z}[x,y,A,B]</math> with <math>x, y, A, B</ ...

| known_for = Number Theory, Cryptography, Analysis | employer = Sambalpur University, Sambalpur, Odisha (Former Professor of Mathematics) ...

{{Short description|Overview of method used to digitally encrypt data}} ...up addition and certain related operations that are used in elliptic curve cryptography algorithms. ...