IEICE TRANSACTIONS on Fundamentals
Two Classes of 1-Resilient Prime-Variable Rotation Symmetric Boolean Functions
Summary :
Recent research has shown that the class of rotation symmetric Boolean functions is beneficial to cryptographics. In this paper, for an odd prime p, two sufficient conditions for p-variable rotation symmetric Boolean functions to be 1-resilient are obtained, and then several concrete constructions satisfying the conditions are presented. This is the first time that resilient rotation symmetric Boolean functions have been systematically constructed. In particular, we construct a class of 2-resilient rotation symmetric Boolean functions when p=2m+1 for m ≥ 4. Moreover, several classes of 1-order correlation immune rotation symmetric Boolean functions are also got.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E100-A No.3 pp.902-907
- Publication Date
- 2017/03/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E100.A.902
- Type of Manuscript
- LETTER
- Category
- Cryptography and Information Security
Authors
Lei SUN
Nankai University
Fang-Wei FU
Nankai University
Xuan GUANG
Nankai University
Keyword
Latest Issue
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Lei SUN, Fang-Wei FU, Xuan GUANG, "Two Classes of 1-Resilient Prime-Variable Rotation Symmetric Boolean Functions" in IEICE TRANSACTIONS on Fundamentals,
vol. E100-A, no. 3, pp. 902-907, March 2017, doi: 10.1587/transfun.E100.A.902.
Abstract: Recent research has shown that the class of rotation symmetric Boolean functions is beneficial to cryptographics. In this paper, for an odd prime p, two sufficient conditions for p-variable rotation symmetric Boolean functions to be 1-resilient are obtained, and then several concrete constructions satisfying the conditions are presented. This is the first time that resilient rotation symmetric Boolean functions have been systematically constructed. In particular, we construct a class of 2-resilient rotation symmetric Boolean functions when p=2m+1 for m ≥ 4. Moreover, several classes of 1-order correlation immune rotation symmetric Boolean functions are also got.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E100.A.902/_p
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@ARTICLE{e100-a_3_902,
author={Lei SUN, Fang-Wei FU, Xuan GUANG, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Two Classes of 1-Resilient Prime-Variable Rotation Symmetric Boolean Functions},
year={2017},
volume={E100-A},
number={3},
pages={902-907},
abstract={Recent research has shown that the class of rotation symmetric Boolean functions is beneficial to cryptographics. In this paper, for an odd prime p, two sufficient conditions for p-variable rotation symmetric Boolean functions to be 1-resilient are obtained, and then several concrete constructions satisfying the conditions are presented. This is the first time that resilient rotation symmetric Boolean functions have been systematically constructed. In particular, we construct a class of 2-resilient rotation symmetric Boolean functions when p=2m+1 for m ≥ 4. Moreover, several classes of 1-order correlation immune rotation symmetric Boolean functions are also got.},
keywords={},
doi={10.1587/transfun.E100.A.902},
ISSN={1745-1337},
month={March},}
Copy
TY - JOUR
TI - Two Classes of 1-Resilient Prime-Variable Rotation Symmetric Boolean Functions
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 902
EP - 907
AU - Lei SUN
AU - Fang-Wei FU
AU - Xuan GUANG
PY - 2017
DO - 10.1587/transfun.E100.A.902
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E100-A
IS - 3
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - March 2017
AB - Recent research has shown that the class of rotation symmetric Boolean functions is beneficial to cryptographics. In this paper, for an odd prime p, two sufficient conditions for p-variable rotation symmetric Boolean functions to be 1-resilient are obtained, and then several concrete constructions satisfying the conditions are presented. This is the first time that resilient rotation symmetric Boolean functions have been systematically constructed. In particular, we construct a class of 2-resilient rotation symmetric Boolean functions when p=2m+1 for m ≥ 4. Moreover, several classes of 1-order correlation immune rotation symmetric Boolean functions are also got.
ER -
English
