m-to-1 Mappings over Finite Fields Fq
Summary :
Permutation polynomials over finite fields have been widely studied due to their important applications in mathematics and cryptography. In recent years, 2-to-1 mappings over finite fields were proposed to build almost perfect nonlinear functions, bent functions, and the semi-bent functions. In this paper, we generalize the 2-to-1 mappings to m-to-1 mappings, including their construction methods. Some applications of m-to-1 mappings are also discussed.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E104-A No.11 pp.1612-1618
- Publication Date
- 2021/11/01
- Publicized
- 2021/04/28
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.2021EAP1003
- Type of Manuscript
- PAPER
- Category
- Cryptography and Information Security
Authors
You GAO
Civil Aviation University of China
Yun-Fei YAO
Civil Aviation University of China
Lin-Zhi SHEN
Civil Aviation University of China
Keyword
Latest Issue
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You GAO, Yun-Fei YAO, Lin-Zhi SHEN, "m-to-1 Mappings over Finite Fields Fq" in IEICE TRANSACTIONS on Fundamentals,
vol. E104-A, no. 11, pp. 1612-1618, November 2021, doi: 10.1587/transfun.2021EAP1003.
Abstract: Permutation polynomials over finite fields have been widely studied due to their important applications in mathematics and cryptography. In recent years, 2-to-1 mappings over finite fields were proposed to build almost perfect nonlinear functions, bent functions, and the semi-bent functions. In this paper, we generalize the 2-to-1 mappings to m-to-1 mappings, including their construction methods. Some applications of m-to-1 mappings are also discussed.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.2021EAP1003/_p
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@ARTICLE{e104-a_11_1612,
author={You GAO, Yun-Fei YAO, Lin-Zhi SHEN, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={m-to-1 Mappings over Finite Fields Fq},
year={2021},
volume={E104-A},
number={11},
pages={1612-1618},
abstract={Permutation polynomials over finite fields have been widely studied due to their important applications in mathematics and cryptography. In recent years, 2-to-1 mappings over finite fields were proposed to build almost perfect nonlinear functions, bent functions, and the semi-bent functions. In this paper, we generalize the 2-to-1 mappings to m-to-1 mappings, including their construction methods. Some applications of m-to-1 mappings are also discussed.},
keywords={},
doi={10.1587/transfun.2021EAP1003},
ISSN={1745-1337},
month={November},}
Copy
TY - JOUR
TI - m-to-1 Mappings over Finite Fields Fq
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1612
EP - 1618
AU - You GAO
AU - Yun-Fei YAO
AU - Lin-Zhi SHEN
PY - 2021
DO - 10.1587/transfun.2021EAP1003
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E104-A
IS - 11
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - November 2021
AB - Permutation polynomials over finite fields have been widely studied due to their important applications in mathematics and cryptography. In recent years, 2-to-1 mappings over finite fields were proposed to build almost perfect nonlinear functions, bent functions, and the semi-bent functions. In this paper, we generalize the 2-to-1 mappings to m-to-1 mappings, including their construction methods. Some applications of m-to-1 mappings are also discussed.
ER -
English
