IEICE TRANSACTIONS on Fundamentals
Construction of Odd-Variable Resilient Boolean Functions with Optimal Degree
Summary :
Constructing degree-optimized resilient Boolean functions with high nonlinearity is a significant study area in Boolean functions. In this letter, we provide a construction of degree-optimized n-variable (n odd and n ≥ 35) resilient Boolean functions, and it is shown that the resultant functions achieve the currently best known nonlinearity.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E94-A No.1 pp.265-267
- Publication Date
- 2011/01/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E94.A.265
- Type of Manuscript
- Special Section LETTER (Special Section on Cryptography and Information Security)
- Category
Authors
Keyword
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Shaojing FU, Chao LI, Kanta MATSUURA, Longjiang QU, "Construction of Odd-Variable Resilient Boolean Functions with Optimal Degree" in IEICE TRANSACTIONS on Fundamentals,
vol. E94-A, no. 1, pp. 265-267, January 2011, doi: 10.1587/transfun.E94.A.265.
Abstract: Constructing degree-optimized resilient Boolean functions with high nonlinearity is a significant study area in Boolean functions. In this letter, we provide a construction of degree-optimized n-variable (n odd and n ≥ 35) resilient Boolean functions, and it is shown that the resultant functions achieve the currently best known nonlinearity.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E94.A.265/_p
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@ARTICLE{e94-a_1_265,
author={Shaojing FU, Chao LI, Kanta MATSUURA, Longjiang QU, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Construction of Odd-Variable Resilient Boolean Functions with Optimal Degree},
year={2011},
volume={E94-A},
number={1},
pages={265-267},
abstract={Constructing degree-optimized resilient Boolean functions with high nonlinearity is a significant study area in Boolean functions. In this letter, we provide a construction of degree-optimized n-variable (n odd and n ≥ 35) resilient Boolean functions, and it is shown that the resultant functions achieve the currently best known nonlinearity.},
keywords={},
doi={10.1587/transfun.E94.A.265},
ISSN={1745-1337},
month={January},}
Copy
TY - JOUR
TI - Construction of Odd-Variable Resilient Boolean Functions with Optimal Degree
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 265
EP - 267
AU - Shaojing FU
AU - Chao LI
AU - Kanta MATSUURA
AU - Longjiang QU
PY - 2011
DO - 10.1587/transfun.E94.A.265
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E94-A
IS - 1
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - January 2011
AB - Constructing degree-optimized resilient Boolean functions with high nonlinearity is a significant study area in Boolean functions. In this letter, we provide a construction of degree-optimized n-variable (n odd and n ≥ 35) resilient Boolean functions, and it is shown that the resultant functions achieve the currently best known nonlinearity.
ER -
English
