Characterization of p-ary functions in terms of association schemes and its applications
- 주제(키워드) Association scheme , Few-weight linear code , p-ary function , Walsh transform
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- OA유형 Green Submitted
- 발행기관 Academic Press Inc.
- 발행년도 2022
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000190365
- 본문언어 영어
- Published As https://doi.org/10.1016/j.jcta.2021.105576
초록/요약
We obtain an explicit criterion for p-ary functions to produce association schemes in terms of their Walsh spectrum. Employing this characterization, we explicitly find a correlation between p-ary bent functions and association schemes; to be more exact, we prove that a p-ary bent function induces a p-class association scheme if and only if the function is weakly regular. As applications of our main criterion, we construct many infinite families of few-class association schemes arising from p-ary functions. Furthermore, we present four classes of p-ary two-weight linear codes, which are constructed from the association schemes produced in this paper. © 2021 Elsevier Inc.
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