IEICE TRANSACTIONS on Fundamentals
Constructing and Counting Boolean Functions on Even Variables with Maximum Algebraic Immunity
Summary :
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.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E93-A No.3 pp.640-643
- Publication Date
- 2010/03/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E93.A.640
- Type of Manuscript
- LETTER
- Category
- Cryptography and Information Security
Authors
Keyword
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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 -
English
