CONSTACYCLIC CODES OF ARBITRARY LENGTH OVER Fq + uFq + · · · + ue− 1Fq

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BEYGI MARZIYEH; Namazi Shohreh; Sharif Habib

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Journal Paper

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Journal: Algebraic structures and their applications Year:2019 | Volume:6 | Issue:1 Page(s): 67-84

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Title

CONSTACYCLIC CODES OF ARBITRARY LENGTH OVER Fq + uFq + · · · + ue− 1Fq

Author(s)

BEYGI MARZIYEH | Namazi Shohreh | Sharif Habib | Issue Writer Certificate

Keywords

Linear code

constacyclic code

minimal spanning set

minimum Hamming distance

Abstract

In this article, we shall study the structure of (a + bu)􀀀 constacyclic codes of arbitrary length over the ring R = Fq + uFq + + ue− 1Fq, where ue = 0, q is a power of a prime number p and a; b are non-zero elements of Fq. Also we shall nd a minimal spanning set for these codes. For a constacyclic code C we shall determine its minimum Hamming distance with some properties of Tor(C) as an a􀀀 constacyclic code over Fq.

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APA: Copy

BEYGI, MARZIYEH, Namazi, Shohreh, & Sharif, Habib. (2019). CONSTACYCLIC CODES OF ARBITRARY LENGTH OVER Fq + uFq + · · · + ue− 1Fq. ALGEBRAIC STRUCTURES AND THEIR APPLICATIONS, 6(1), 67-84. SID. https://sid.ir/paper/354263/en

Vancouver: Copy

BEYGI MARZIYEH, Namazi Shohreh, Sharif Habib. CONSTACYCLIC CODES OF ARBITRARY LENGTH OVER Fq + uFq + · · · + ue− 1Fq. ALGEBRAIC STRUCTURES AND THEIR APPLICATIONS[Internet]. 2019;6(1):67-84. Available from: https://sid.ir/paper/354263/en

IEEE: Copy

MARZIYEH BEYGI, Shohreh Namazi, and Habib Sharif, “CONSTACYCLIC CODES OF ARBITRARY LENGTH OVER Fq + uFq + · · · + ue− 1Fq,” ALGEBRAIC STRUCTURES AND THEIR APPLICATIONS, vol. 6, no. 1, pp. 67–84, 2019, [Online]. Available: https://sid.ir/paper/354263/en

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