On Constructions of One-Lee Weight Codes Over Z₄

Zongbing Lin, Kaimin Cheng · IEEE Access · 2021

Let Z4 be the integer ring of residue classes modulo 4. In this paper, we construct four infinite families of Z4-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.

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