On Constructions of One-Lee Weight Codes Over Z₄

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2021 English Publisher:IEEEJournal:IEEE Access (issn: 2169-3536,

Authors: Zongbing Lin; Kaimin Cheng;

On Constructions of One-Lee Weight Codes Over Z₄

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Abstract

Let $\mathbb {Z}_{4}$ be the integer ring of residue classes modulo 4. In this paper, we construct four infinite families of $\mathbb {Z}_{4}$ -codes with one nonzero Lee weight by their generator matrices. Furthermore, we study the linearity of their Gray images and obtain a family of optimal binary codes.

Keywords

gray images, linearity, \text{One-weight} codes, Electrical engineering. Electronics. Nuclear engineering, TK1-9971

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