عنوان

Bent functions :

شابک

012802318X

شابک

9780128023181

شماره

dltt

عنوان اصلي

Bent functions :

نام عام مواد

[Book]

ساير اطلاعات عنواني

results and applications to cryptography /

نام نخستين پديدآور

by Natalia Tokareva, Sobolev Institute of Mathematics, Novosibirsk State University, Novosibirsk, Russia

نام خاص و کميت اثر

xviii, 202 pages :

ساير جزييات

illustrations, portraits ;

ابعاد

23 cm

متن يادداشت

Includes bibliographical references (pages 175-195) and index

متن يادداشت

Boolean functions -- Bent functions: An introduction -- History of bent functions -- Applications of bent functions -- Properties of bent functions -- Equivalent representations of bent functions -- Bent functions with a small number of variables -- Combinatorial constructions of bent functions -- Algebraic constructions of bent functions -- Bent functions and other cryptographic properties -- Distances between bent functions -- Automorphisms of the set of bent functions -- Bounds on the number of bent functions -- Bent decomposition problem -- Algebraic generalizations of bent functions -- Combinatorial generalizations of bent functions -- Cryptographic generalizations of bent functions

بدون عنوان

0

متن يادداشت

This book is devoted

متن يادداشت

This book is devoted to such objects of discrete mathematics as Boolean bent functions. These functions have a remarkable property distinguishes bent functions as a special mysterious class and leads to numerous applications of bent functions in combinatorics, coding theory, and cryptography. In this book a detailed overview of results in bent functions is given. We discuss historical aspects of the invention of bent functions and describe their applications in cryptography and discrete mathematics. Basic properties and equivalent representations of bent functions are studied. Detailed classifications of bent functions in a small number of variables, and combinatorial and algebraic constructions of bent functions are considered. Connections between bent functions and other cryptographic functions are studied. Hamming distances between bent functions and the group of automorphisms of the set of all bent functions are considered. Upper and lower bounds for the number of bent functions and hypotheses on the asymptotic value of this number are discussed. A detailed systematic survey on generalizations of bent functions with respect to their algebraic, combinatorial, and cryptographic properties is given: we consider at least 25 distinct generalizations. Open problems in bent functions are also discussed. There are about 125 theorems in bent functions. Some results were presented before only in Russian and are still not widely known. The book is oriented at specialists in Boolean functions and cryptography, academic staff, and students. -- from back cover

موضوع مستند نشده

Algebra, Boolean

موضوع مستند نشده

Algebraic functions

موضوع مستند نشده

Cryptography-- Mathematics

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Tokareva, Natalia

تاريخ عمليات

20160115053824.5

قواعد فهرست نويسي ( بخش توصيفي )

rda

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y