A lower bound for constant dimension codes from multi-component lifted MRD codes

2013/01/09 by Anna-Lena Trautmann, Trautmann, Anna-Lena
Computer Science · #Coding theory and cryptography #Cooperative Communication and Network Coding #Error Correcting Code Techniques #FOS: Computer and information sciences #Information Theory (cs.IT)

paper · pdf · doi:10.48550/arxiv.1301.1918

openalex publication_date 2013/01/09 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this work we investigate unions of lifted MRD codes of a fixed dimension and minimum distance and derive an explicit formula for the cardinality of such codes. This will then imply a lower bound on the cardinality of constant dimension codes.

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