Two Families of BCH Codes and New Quantum Codes
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Theoretical Physics"
DOI: 10.1007/s10773-019-04120-9
Abstract: In this paper, two families of Hermitian dual-containing Bose-Chau- dhuri-Hocquenghem (BCH) codes with length n=a⋅q2+12$n=a\cdot \frac {q^{2}+ 1}{2}$ and n = b (q2 + 1) are studied, where odd a∣(q − 1) for odd prime power q and… read more here.
Keywords: new quantum; families bch; codes new; two families ... See more keywords
A class of constacyclic BCH codes
Sign Up to like & getrecommendations! Published in 2019 at "Cryptography and Communications"
DOI: 10.1007/s12095-019-00401-6
Abstract: Constacyclic codes are a subclass of linear codes and have been well studied. Constacyclic BCH codes are a family of constacyclic codes and contain BCH codes as a subclass. Compared with the in-depth study of… read more here.
Keywords: frac; class constacyclic; bch codes; constacyclic bch ... See more keywords
Step-by-Step Decoding of Binary Quasi-Reversible BCH Codes
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Communications"
DOI: 10.1109/tcomm.2022.3188837
Abstract: Binary quasi-reversible BCH codes whose defining set contains consecutive elements from negative to positive integers have received considerable attention in recent years due to their efficient decoding suitable for a wide range of applications. This… read more here.
Keywords: reversible bch; bch codes; binary quasi; quasi reversible ... See more keywords
Two Families of LCD BCH Codes
Sign Up to like & getrecommendations! Published in 2017 at "IEEE Transactions on Information Theory"
DOI: 10.1109/tit.2017.2723363
Abstract: Historically, LCD cyclic codes were referred to as reversible cyclic codes, which had applications in data storage. Due to a newly discovered application in cryptography, there has been renewed interest in LCD codes. In this… read more here.
Keywords: two families; cyclic codes; bch codes; families lcd ... See more keywords
On Decoding Binary Quasi-Reversible BCH Codes
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Information Theory"
DOI: 10.1109/tit.2022.3142371
Abstract: For the recently developed quasi-reversible BCH codes with long lengths and high error-correcting capability, this paper is aimed at proposing a new and faster decoding procedure. It consists of four steps: 1) compute the consecutive… read more here.
Keywords: reversible bch; bch codes; error; quasi reversible ... See more keywords
Low-Latency Nested Decoding for Short Generalized Integrated Interleaved BCH Codes
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Very Large Scale Integration (VLSI) Systems"
DOI: 10.1109/tvlsi.2022.3179944
Abstract: Generalized integrated interleaved (GII) codes nest short BCH sub-codewords to form more powerful BCH codewords. They can potentially achieve hyper-speed decoding with excellent error-correction capability. In particular, short GII-BCH codes are among the best candidates… read more here.
Keywords: bch codes; generalized integrated; nested decoding; latency ... See more keywords