The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
Copyrights notice
The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
Neste artigo, construímos seis classes infinitas de funções booleanas balanceadas. Essas seis classes de funções booleanas alcançaram grau algébrico ideal, imunidade algébrica ideal e alta não linearidade. Além disso, demos a prova do limite inferior das não linearidades destas funções booleanas equilibradas e provamos o melhor limite inferior da não linearidade para a função booleana de Carlet-Feng.
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Chik-How TAN, Siong-Thye GOH, "Several Classes of Even-Variable Balanced Boolean Functions with Optimal Algebraic Immunity" in IEICE TRANSACTIONS on Fundamentals,
vol. E94-A, no. 1, pp. 165-171, January 2011, doi: 10.1587/transfun.E94.A.165.
Abstract: In this paper, we constructed six infinite classes of balanced Boolean functions. These six classes of Boolean functions achieved optimal algebraic degree, optimal algebraic immunity and high nonlinearity. Furthermore, we gave the proof of the lower bound of the nonlinearities of these balanced Boolean functions and proved the better lower bound of nonlinearity for Carlet-Feng's Boolean function.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E94.A.165/_p
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@ARTICLE{e94-a_1_165,
author={Chik-How TAN, Siong-Thye GOH, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Several Classes of Even-Variable Balanced Boolean Functions with Optimal Algebraic Immunity},
year={2011},
volume={E94-A},
number={1},
pages={165-171},
abstract={In this paper, we constructed six infinite classes of balanced Boolean functions. These six classes of Boolean functions achieved optimal algebraic degree, optimal algebraic immunity and high nonlinearity. Furthermore, we gave the proof of the lower bound of the nonlinearities of these balanced Boolean functions and proved the better lower bound of nonlinearity for Carlet-Feng's Boolean function.},
keywords={},
doi={10.1587/transfun.E94.A.165},
ISSN={1745-1337},
month={January},}
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TY - JOUR
TI - Several Classes of Even-Variable Balanced Boolean Functions with Optimal Algebraic Immunity
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 165
EP - 171
AU - Chik-How TAN
AU - Siong-Thye GOH
PY - 2011
DO - 10.1587/transfun.E94.A.165
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E94-A
IS - 1
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - January 2011
AB - In this paper, we constructed six infinite classes of balanced Boolean functions. These six classes of Boolean functions achieved optimal algebraic degree, optimal algebraic immunity and high nonlinearity. Furthermore, we gave the proof of the lower bound of the nonlinearities of these balanced Boolean functions and proved the better lower bound of nonlinearity for Carlet-Feng's Boolean function.
ER -