Decoding Analog Subspace Codes: Algorithms for Character-Polynomial Codes

Autor:	Riasat, Samin, Mahdavifar, Hessam
Rok vydání:	2024
Předmět:	Computer Science - Information Theory Electrical Engineering and Systems Science - Signal Processing 94B35 94B65
Druh dokumentu:	Working Paper
Popis:	We propose efficient minimum-distance decoding and list-decoding algorithms for a certain class of analog subspace codes, referred to as character-polynomial (CP) codes, recently introduced by Soleymani and the second author. In particular, a CP code without its character can be viewed as a subcode of a Reed-Solomon (RS) code, where a certain subset of the coefficients of the message polynomial is set to zeros. We then demonstrate how classical decoding methods, including list decoders, for RS codes can be leveraged for decoding CP codes. For instance, it is shown that, in almost all cases, the list decoder behaves as a unique decoder. We also present a probabilistic analysis of the improvements in list decoding of CP codes when leveraging their certain structure as subcodes of RS codes. Comment: ISIT 2024
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2407.03606 Zobrazit plný text záznamu View this record from Arxiv