Linear Codes Over a Non-Chain Ring and the MacWilliams Identities

This paper is concerned with the linear codes over the non-chain ring R=F<sub>2</sub>[v]/&#x2329;v<sup>4</sup>-v&#x232A;. First, several weight enumerators over R are defined. Then the MacWilliams identity is obtained, which can establish an important relation respect...

Full description

Bibliographic Details
Main Authors: Tiantian Li, Rongsheng Wu, Juan Xu
Format: Article
Language:English
Published: IEEE 2020-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9086478/