IEICE TRANSACTIONS on Fundamentals
Constructions of 2-Rotation Symmetric Semi-Bent Functions with Degree Bigger than 2
Summary :
Semi-bent functions have important applications in cryptography and coding theory. 2-rotation symmetric semi-bent functions are a class of semi-bent functions with the simplicity for efficient computation because of their invariance under 2-cyclic shift. However, no construction of 2-rotation symmetric semi-bent functions with algebraic degree bigger than 2 has been presented in the literature. In this paper, we introduce four classes of 2m-variable 2-rotation symmetric semi-bent functions including balanced ones. Two classes of 2-rotation symmetric semi-bent functions have algebraic degree from 3 to m for odd m≥3, and the other two classes have algebraic degree from 3 to m/2 for even m≥6 with m/2 being odd.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E102-A No.11 pp.1497-1503
- Publication Date
- 2019/11/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E102.A.1497
- Type of Manuscript
- PAPER
- Category
- Cryptography and Information Security
Authors
Qinglan ZHAO
Xi'an University of Post and Telecommunications,Fujian Province University
Dong ZHENG
Xi'an University of Post and Telecommunications
Baodong QIN
Xi'an University of Post and Telecommunications
Rui GUO
Xi'an University of Post and Telecommunications
Keyword
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Qinglan ZHAO, Dong ZHENG, Baodong QIN , Rui GUO, "Constructions of 2-Rotation Symmetric Semi-Bent Functions with Degree Bigger than 2" in IEICE TRANSACTIONS on Fundamentals,
vol. E102-A, no. 11, pp. 1497-1503, November 2019, doi: 10.1587/transfun.E102.A.1497.
Abstract: Semi-bent functions have important applications in cryptography and coding theory. 2-rotation symmetric semi-bent functions are a class of semi-bent functions with the simplicity for efficient computation because of their invariance under 2-cyclic shift. However, no construction of 2-rotation symmetric semi-bent functions with algebraic degree bigger than 2 has been presented in the literature. In this paper, we introduce four classes of 2m-variable 2-rotation symmetric semi-bent functions including balanced ones. Two classes of 2-rotation symmetric semi-bent functions have algebraic degree from 3 to m for odd m≥3, and the other two classes have algebraic degree from 3 to m/2 for even m≥6 with m/2 being odd.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E102.A.1497/_p
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@ARTICLE{e102-a_11_1497,
author={Qinglan ZHAO, Dong ZHENG, Baodong QIN , Rui GUO, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Constructions of 2-Rotation Symmetric Semi-Bent Functions with Degree Bigger than 2},
year={2019},
volume={E102-A},
number={11},
pages={1497-1503},
abstract={Semi-bent functions have important applications in cryptography and coding theory. 2-rotation symmetric semi-bent functions are a class of semi-bent functions with the simplicity for efficient computation because of their invariance under 2-cyclic shift. However, no construction of 2-rotation symmetric semi-bent functions with algebraic degree bigger than 2 has been presented in the literature. In this paper, we introduce four classes of 2m-variable 2-rotation symmetric semi-bent functions including balanced ones. Two classes of 2-rotation symmetric semi-bent functions have algebraic degree from 3 to m for odd m≥3, and the other two classes have algebraic degree from 3 to m/2 for even m≥6 with m/2 being odd.},
keywords={},
doi={10.1587/transfun.E102.A.1497},
ISSN={1745-1337},
month={November},}
Copy
TY - JOUR
TI - Constructions of 2-Rotation Symmetric Semi-Bent Functions with Degree Bigger than 2
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1497
EP - 1503
AU - Qinglan ZHAO
AU - Dong ZHENG
AU - Baodong QIN
AU - Rui GUO
PY - 2019
DO - 10.1587/transfun.E102.A.1497
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E102-A
IS - 11
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - November 2019
AB - Semi-bent functions have important applications in cryptography and coding theory. 2-rotation symmetric semi-bent functions are a class of semi-bent functions with the simplicity for efficient computation because of their invariance under 2-cyclic shift. However, no construction of 2-rotation symmetric semi-bent functions with algebraic degree bigger than 2 has been presented in the literature. In this paper, we introduce four classes of 2m-variable 2-rotation symmetric semi-bent functions including balanced ones. Two classes of 2-rotation symmetric semi-bent functions have algebraic degree from 3 to m for odd m≥3, and the other two classes have algebraic degree from 3 to m/2 for even m≥6 with m/2 being odd.
ER -
English
