On the classification of ℤ₄-codes

2017/07/05 by Makoto Araya, Araya, Makoto, Masaaki Harada +5
Computer Science · Engineering · Mathematics · #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Computer and information sciences #FOS: Mathematics #Finite Group Theory Research #Information Theory (cs.IT) #cs.IT #graph theory and CDMA systems #math.CO #math.IT

paper · pdf · doi:10.48550/arxiv.1707.01356

15 pages

openalex publication_date 2017/07/05 · arxiv created 2017/11/08 · arxiv updated 2017/11/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note, we study the classification of ℤ₄-codes. For some special cases (k₁,k₂), by hand, we give a classification of ℤ₄-codes of length n and type 4^k₁2^k₂ satisfying a certain condition. Our exhaustive computer search completes the classification of ℤ₄-codes of lengths up to 7.

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