In this review, we consider applications of nonassociative algebraic structures for the construction of linearly optimal codes and cryptosystems.doi:10.1007/s10958-020-04685-5V. T. MarkovA. V. MikhalevA. A. NechaevSpringer USJournal of mathematical sciences...
(P,Q) THEOREM 1:01:33 ANDREY KUPAVSKII_ BINARY SCALAR PRODUCTS 1:09:29 CLAUDE TARDIF_ THE CHROMATIC NUMBER OF THE PRODUCT OF 15-CHROMATIC GRAPHS CAN BE 56:32 DAVID WOOD_ UNIVERSAL GRAPH PRODUCT STRUCTURES 1:01:36 LEGENDRIAN CABLES 1:05:42 MÁRTON NASZÓDI_ COMPUTING THE COVERING ...
The basic algebraic structures (group, rings and fields) are introduced in the first three chapters. The first notion is briefly exposed but the last two notions are presented here in detail, so that we can find enough information regarding factor rings and ring homomorphisms, quotient fields, ...
Boolean functions which can be mapped to partially linear functions via a linear transformation are said to have a linear structure, and are a potentially weak class of functions for cryptography. We prove that the number of n-bit functions that have a linear structure is asymptotic (2n - 1)...
Define algebraic number. algebraic number synonyms, algebraic number pronunciation, algebraic number translation, English dictionary definition of algebraic number. n. A number that is a root of a polynomial equation with rational coefficients. American
Boolean functions which can be mapped to partially linear functions via a linear transformation are said to have a linear structures, and are a potentially weak class of functions for cryptography. We prove that the ?number of n-bit functions that have a linear structure is asymptotic (2n ?
Provides a single forum for researchers in combinatorics and other disciplines in mathematics and computer science Publishes papers that study combinatorial structures using algebraic methods, or the application of combinatorial methods to algebraic problems. ...
{\\\bf Geometric data structures and searching} 30. Point location by {\\\it J. Snoeyin... J O'Rourke,JE Goodman - CRC Press, 被引量: 2876发表: 2004年 Algebraic Geometry over Groups I. Algebraic Sets and Ideal Theory - ScienceDirect The object of this paper, which is the first ...
Many researchers were motivated to improve NTRU performance by replacing the original polynomial ring and mathematical structure with new modified algebraic structures, such as QTRU, OTRU, BITRU, and many others. In this work, a new NTRU-analog cryptosystem called QOBTRU is proposed based on a ...
A. Giaquinto, Topics in algebraic deformation theory, in: Higher Structures in Geometry and Physics, in: Progr. Math., vol. 287, Birkhauser/Springer, ... A Giaquinto - Birkhäuser Boston 被引量: 5发表: 2010年 MATH8865: TOPICS IN ALGEBRAIC GEOMETRY 1.1. Sheaves. Let X be a topological ...