Let Fq be a finite field withq = p elements, wherep is any prime andm ≥ 1. In this paper, we explicitly determine all theμ-constacyclic codes of length̀ over Fq, where` is an odd prime coprime top… (More)

Let q be an odd prime power and p be an odd prime with gcdðp; qÞ 1⁄4 1: Let order of q modulo p be f ; gcdð 1 f ; qÞ 1⁄4 1 and q 1⁄4 1þ pl: Here expressions for all the primitive idempotents in the… (More)

Let m be a positive integer and q be an odd prime power. In this short communication , the weight distributions of all the irreducible cyclic codes of length 2 m over F q are determined explicitly,… (More)

Let R = F p + u F p + u 2 F p + u 3 F p $\mathcal {R}=\mathbb {F}_{p}+u\mathbb {F}_{p}+u^{2}\mathbb {F}_{p}+u^{3}\mathbb {F}_{p}$ with u 4 = u be a finite non-chain ring, where p is a prime congruent… (More)

Let m ≥ 2 be any natural number and let R=𝔽p+u𝔽p+u2𝔽p+⋯+um−1𝔽p $\mathcal {R}=\mathbb {F}_{p}+u\mathbb {F}_{p}+u^{2}\mathbb {F}_{p}+\cdots +u^{m-1}\mathbb {F}_{p}$ be a finite non-chain ring,… (More)

Let m ≥ 2 be any natural number and let R = F p + uF p + u 2 F p + · · · + u m−1 F p be a finite non-chain ring, where u m = u and p is a prime congruent to 1 modulo (m − 1). In this paper we study… (More)