Manjit Singh

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20182021

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math.CO2018

Explicit factorization of $x^{2^{n} d} - 1$ over a finite field

Manjit Singh

Let $F_{q}$ be a finite field of odd characteristic containing $q$ elements and integer $n \geq 1$ . In this paper, the explicit factorization of $x^{2^{n} d} - 1$ over $\mathbb{F}_…

math.CO2018

Weight distributions of all irreducible $μ$ -constacyclic codes of length $ℓ^{n}$

Manjit Singh

Let $F_{q}$ be a finite field of order $q$ and integer $n \geq 1$ . Let $ℓ$ be a prime such that $ℓ^{k} ∣ (q - 1)$ for some integer $k \geq 1$ and $μ$ be an element of order $\el…

Explicit factorization of x2nd−1 over a finite field

Weight distributions of all irreducible μ-constacyclic codes of length ℓn

Explicit factorization of $x^{2^{n} d} - 1$ over a finite field

Weight distributions of all irreducible $μ$ -constacyclic codes of length $ℓ^{n}$