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ON THE SUPPORT WEIGHT DISTRIBUTION OF LINEAR CODES OVER THE RING F-p + uF(p) + ... plus u(d-1)F(p)
Journal article   Peer reviewed

ON THE SUPPORT WEIGHT DISTRIBUTION OF LINEAR CODES OVER THE RING F-p + uF(p) + ... plus u(d-1)F(p)

Minjia Shi, Jiaqi Feng, Jian Gao, Adel Alahmadi and Patrick Sole
Bulletin of the Australian Mathematical Society, Vol.95(1), pp.157-163
01/02/2017
DOI: https://doi.org/10.1017/S0004972716000526

Abstract

Mathematics Physical Sciences Science & Technology
Let R = F-p + uF(p) + u(2)F(p) +... + u(d-1) F-p, where u(d) = u and p is a prime with d - 1 dividing p - 1. A relation between the support weight distribution of a linear code C of type p(dk) over R and the dual code C-perpendicular to is established.

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