HAMMING DISTANCES OF REPEATED-ROOT CONSTACYCLIC CODES OF PRIME POWER LENGTHS OVER F5m + uF5m

Abstract

The ring R = F5m + uF5m has precisely 5m(5m − 1) units, which are of the forms α+uβ and γ, where α, β,γ are nonzero elements of the field F5m. Using the algebraic structure in term of generator polynomials of these codes, the Hamming and symbol-pair distance distributions of all such codes are completely determined.