Note on Support Weight Distribution of Linear Codes over $mathbb{F}_{p}+umathbb{F}_{p}+vmathbb{F}_{p}+uvmathbb{F}_{p}$

Minjia SHI  Jie TANG  Maorong GE  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E100-A   No.6   pp.1346-1348
Publication Date: 2017/06/01
Online ISSN: 1745-1337
Type of Manuscript: LETTER
Category: Coding Theory
Chinese remainder theorem,  support weight,  support weight distribution,  

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Let $R$ = $mathbb{F}_{p}+umathbb{F}_{p}+vmathbb{F}_{p}+uvmathbb{F}_{p}$, where u2=u, v2 and uv=vu. A relation between the support weight distribution of a linear code $mathscr{C}$ of type p4k over R and its dual code $mathscr{C}^{ot}$ is established.