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".
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The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
Une méthode pour construire des fonctions booléennes avec une immunité algébrique maximale a été proposée dans . Sur la base de cette méthode, nous proposons dans cette lettre une méthode différente pour construire des fonctions booléennes sur des variables paires avec une immunité algébrique maximale. En s'appuyant sur notre construction, une limite inférieure du nombre de ces fonctions booléennes est dérivée, qui est la meilleure parmi toutes les limites inférieures existantes.
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Yuan LI, Min YANG, Haibin KAN, "Constructing and Counting Boolean Functions on Even Variables with Maximum Algebraic Immunity" in IEICE TRANSACTIONS on Fundamentals,
vol. E93-A, no. 3, pp. 640-643, March 2010, doi: 10.1587/transfun.E93.A.640.
Abstract: A method to construct Boolean functions with maximum algebraic immunity have been proposed in . Based on that method, we propose a different method to construct Boolean functions on even variables with maximum algebraic immunity in this letter. By counting on our construction, a lower bound of the number of such Boolean functions is derived, which is the best among all the existing lower bounds.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E93.A.640/_p
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@ARTICLE{e93-a_3_640,
author={Yuan LI, Min YANG, Haibin KAN, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Constructing and Counting Boolean Functions on Even Variables with Maximum Algebraic Immunity},
year={2010},
volume={E93-A},
number={3},
pages={640-643},
abstract={A method to construct Boolean functions with maximum algebraic immunity have been proposed in . Based on that method, we propose a different method to construct Boolean functions on even variables with maximum algebraic immunity in this letter. By counting on our construction, a lower bound of the number of such Boolean functions is derived, which is the best among all the existing lower bounds.},
keywords={},
doi={10.1587/transfun.E93.A.640},
ISSN={1745-1337},
month={March},}
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TY - JOUR
TI - Constructing and Counting Boolean Functions on Even Variables with Maximum Algebraic Immunity
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 640
EP - 643
AU - Yuan LI
AU - Min YANG
AU - Haibin KAN
PY - 2010
DO - 10.1587/transfun.E93.A.640
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E93-A
IS - 3
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - March 2010
AB - A method to construct Boolean functions with maximum algebraic immunity have been proposed in . Based on that method, we propose a different method to construct Boolean functions on even variables with maximum algebraic immunity in this letter. By counting on our construction, a lower bound of the number of such Boolean functions is derived, which is the best among all the existing lower bounds.
ER -