New classes of quadratic bent functions in polynomial forms
Baofeng Wu, Jia Zheng, Zhuojun Liu
TL;DR
This paper introduces new quadratic bent functions constructed through polynomial forms, utilizing the right Euclid algorithm in skew-polynomial rings over finite fields of characteristic 2.
Contribution
It presents a novel construction method for quadratic bent functions using skew-polynomial rings and the right Euclid algorithm.
Findings
New classes of quadratic bent functions are constructed.
The construction method is based on skew-polynomial rings.
The approach enhances understanding of bent functions in finite fields.
Abstract
In this paper, we propose a new construction of quadratic bent functions in polynomial forms. Right Euclid algorithm in skew-polynomial rings over finite fields of characteristic 2 is applied in the proof.
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Taxonomy
TopicsCoding theory and cryptography · Cryptographic Implementations and Security · graph theory and CDMA systems