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

摘要

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.