New [48,16,16] Optimal Linear Binary Block Code
Axel Kohnert
TL;DR
This paper introduces a new optimal linear binary block code with parameters [48,16,16], providing a general construction method that resolves a conjecture from a 2008 study.
Contribution
It presents a novel [48,16,16] code and a general construction approach that confirms a previously unresolved conjecture.
Findings
New [48,16,16] code established
Construction method applicable to similar codes
Conjecture from 2008 resolved
Abstract
A new [48,16,16] optimal linear binary block code is given. To get this code a general construction is used which is also described in this paper. The construction of this new code settles an conjecture mentioned in a 2008 paper by Janosov et al. where the authors found an new optimal [47,15,16]-code, which is relevant to the applied construction.
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Taxonomy
TopicsCoding theory and cryptography · Advanced Wireless Communication Techniques · Error Correcting Code Techniques