Quasi-cyclic Codes of Index 1.5

2015/05/09 by Yun Fan, Fan, Yun, Hualu Liu +1 · 1 citation
Computer Science · Mathematics · #15B52 #94B05 #94B65 #Coding theory and cryptography #Cooperative Communication and Network Coding #FOS: Computer and information sciences #Finite Group Theory Research #Information Theory (cs.IT)

paper · pdf · doi:10.48550/arxiv.1505.02252

openalex publication_date 2015/05/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce quasi-cyclic codes of index 1.5, construct such codes in terms of polynomials and matrices; and prove that the quasi-cyclic codes of index 1.5 are asymptotically good.

Cited by

• ℤ₂ℤ₄-Additive Cyclic Codes Are Asymptotically Good

Related

• On Quasi-Cyclic Codes as a Generalization of Cyclic Codes
• Quasi-cyclic codes of index 2
• Quasi-Cyclic Codes
• Asymptotic Properties of Quasi-Group Codes
• New Quasi-Cyclic Codes from Simplex Codes