IEICE TRANSACTIONS on Fundamentals
Constructions of Semi-Bent Functions by Modifying the Supports of Quadratic Boolean Functions
Summary :
Semi-bent functions have almost maximal nonlinearity. In this paper, two classes of semi-bent functions are constructed by modifying the supports of two quadratic Boolean functions $f_1(x_1,x_2,cdots,x_n)=igopluslimits^{k}_{i=1}x_{2i-1}x_{2i}$ with $n=2k+1geq3$ and $f_2(x_1,x_2,cdots,x_n)=igopluslimits^{k}_{i=1}x_{2i-1}x_{2i}$ with $n=2k+2geq4$. Meanwhile, the algebraic normal forms of the newly constructed semi-bent functions are determined.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E103-A No.5 pp.749-756
- Publication Date
- 2020/05/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.2019EAP1131
- Type of Manuscript
- PAPER
- Category
- Cryptography and Information Security
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Keyword
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Feng HU, Sihong SU, "Constructions of Semi-Bent Functions by Modifying the Supports of Quadratic Boolean Functions" in IEICE TRANSACTIONS on Fundamentals,
vol. E103-A, no. 5, pp. 749-756, May 2020, doi: 10.1587/transfun.2019EAP1131.
Abstract: Semi-bent functions have almost maximal nonlinearity. In this paper, two classes of semi-bent functions are constructed by modifying the supports of two quadratic Boolean functions $f_1(x_1,x_2,cdots,x_n)=igopluslimits^{k}_{i=1}x_{2i-1}x_{2i}$ with $n=2k+1geq3$ and $f_2(x_1,x_2,cdots,x_n)=igopluslimits^{k}_{i=1}x_{2i-1}x_{2i}$ with $n=2k+2geq4$. Meanwhile, the algebraic normal forms of the newly constructed semi-bent functions are determined.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.2019EAP1131/_p
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@ARTICLE{e103-a_5_749,
author={Feng HU, Sihong SU, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Constructions of Semi-Bent Functions by Modifying the Supports of Quadratic Boolean Functions},
year={2020},
volume={E103-A},
number={5},
pages={749-756},
abstract={Semi-bent functions have almost maximal nonlinearity. In this paper, two classes of semi-bent functions are constructed by modifying the supports of two quadratic Boolean functions $f_1(x_1,x_2,cdots,x_n)=igopluslimits^{k}_{i=1}x_{2i-1}x_{2i}$ with $n=2k+1geq3$ and $f_2(x_1,x_2,cdots,x_n)=igopluslimits^{k}_{i=1}x_{2i-1}x_{2i}$ with $n=2k+2geq4$. Meanwhile, the algebraic normal forms of the newly constructed semi-bent functions are determined.},
keywords={},
doi={10.1587/transfun.2019EAP1131},
ISSN={1745-1337},
month={May},}
Copy
TY - JOUR
TI - Constructions of Semi-Bent Functions by Modifying the Supports of Quadratic Boolean Functions
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 749
EP - 756
AU - Feng HU
AU - Sihong SU
PY - 2020
DO - 10.1587/transfun.2019EAP1131
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E103-A
IS - 5
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - May 2020
AB - Semi-bent functions have almost maximal nonlinearity. In this paper, two classes of semi-bent functions are constructed by modifying the supports of two quadratic Boolean functions $f_1(x_1,x_2,cdots,x_n)=igopluslimits^{k}_{i=1}x_{2i-1}x_{2i}$ with $n=2k+1geq3$ and $f_2(x_1,x_2,cdots,x_n)=igopluslimits^{k}_{i=1}x_{2i-1}x_{2i}$ with $n=2k+2geq4$. Meanwhile, the algebraic normal forms of the newly constructed semi-bent functions are determined.
ER -
English
