A large family of Boolean functions
Acta Arithmetica (2016)
- Volume: 172, Issue: 3, page 251-262
- ISSN: 0065-1036
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topHuaning Liu, and Min Zhang. "A large family of Boolean functions." Acta Arithmetica 172.3 (2016): 251-262. <http://eudml.org/doc/278871>.
@article{HuaningLiu2016,
abstract = {In a series of papers many Boolean functions with good cryptographic properties were constructed using number-theoretic methods. We construct a large family of Boolean functions by using polynomials over finite fields, and study their cryptographic properties: maximum Fourier coefficient, nonlinearity, average sensitivity, sparsity, collision and avalanche effect.},
author = {Huaning Liu, Min Zhang},
journal = {Acta Arithmetica},
keywords = {Boolean function; maximum Fourier coefficient; nonlinearity; average sensitivity; sparsity; collision; avalanche effect},
language = {eng},
number = {3},
pages = {251-262},
title = {A large family of Boolean functions},
url = {http://eudml.org/doc/278871},
volume = {172},
year = {2016},
}
TY - JOUR
AU - Huaning Liu
AU - Min Zhang
TI - A large family of Boolean functions
JO - Acta Arithmetica
PY - 2016
VL - 172
IS - 3
SP - 251
EP - 262
AB - In a series of papers many Boolean functions with good cryptographic properties were constructed using number-theoretic methods. We construct a large family of Boolean functions by using polynomials over finite fields, and study their cryptographic properties: maximum Fourier coefficient, nonlinearity, average sensitivity, sparsity, collision and avalanche effect.
LA - eng
KW - Boolean function; maximum Fourier coefficient; nonlinearity; average sensitivity; sparsity; collision; avalanche effect
UR - http://eudml.org/doc/278871
ER -
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