Bent Functions and Permutation Methods : Binary and Multiple-Valued Bent Functions
2024 ed.
Book Details
Format
Hardback or Cased Book
ISBN-10
3031506499
ISBN-13
9783031506499
Edition
2024 ed.
Publisher
Springer International Publishing AG
Imprint
Springer International Publishing AG
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Feb 21st, 2024
Print length
272 Pages
Ksh 8,100.00
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This book discusses in a uniform way binary, ternary, and quaternary bent functions, while most of the existing books on bent functions refer to just binary bent functions. The approach presented is based on the observation that given certain bent functions, many other bent functions can be constructed by manipulating them.
This book discusses in a uniform way binary, ternary, and quaternary bent functions, while most of the existing books on bent functions refer to just binary bent functions. The authors describe the differences between binary and multiple-valued cases and the construction methods for bent functions are focused on the application of two types of permutation matrices. These matrices are derived from a class of differential operators on finite groups and Fast Fourier transform algorithms, respectively. The approach presented is based on the observation that given certain bent functions, many other bent functions can be constructed by manipulating them. Permutations are possible manipulations that are easy to implement. These permutations perform spectral invariant operations which ensure that they preserve bentness.
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