Details

Autor(en) / Beteiligte

• Bhardwaj, Swati
• Raka, Madhu

Titel

Two dimensional constacyclic codes of arbitrary length over finite fields

Ist Teil von

• Indian journal of pure and applied mathematics, 2022-03, Vol.53 (1), p.49-61

Ort / Verlag

New Delhi: Indian National Science Academy

Erscheinungsjahr

2022

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• In this paper we characterize the algebraic structure of two-dimensional ( α , β ) -constacyclic codes of arbitrary length s ℓ and of their duals over a finite field F q , where α , β are non zero elements of F q . For α , β ∈ { 1 , - 1 } , we give necessary and sufficient conditions for a two-dimensional ( α , β ) -constacyclic code to be self-dual. We also show that a two-dimensional ( α , 1 ) -constacyclic code C of length n = s ℓ cannot be self-dual if gcd ( s , q ) = 1 . Finally, we give some examples of self-dual, isodual, MDS and quasi-twisted codes corresponding to two-dimensional ( α , β ) -constacyclic codes.