Two classes of two-weight linear codes over finite fields

Autor: Jianying Rong, Fengwei Li, Ting Li
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: AIMS Mathematics, Vol 8, Iss 7, Pp 15317-15331 (2023)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2023783?viewType=HTML
Popis: Let $ p\equiv 1\pmod 4 $ be a prime, $ m $ a positive integer, $ \frac{\phi(p^m)}2 $ the multiplicative order of $ 2 $ modulo $ p^m $, and let $ q = 2^{ \frac{\phi(p^m)}2} $, where $ \phi(\cdot) $ is the Euler's function. In this paper, we construct two classes of linear codes over $ \Bbb F_q $ and investigate their weight distributions. By calculating two classes of special exponential sums, the desired results are obtained.
Databáze: Directory of Open Access Journals