Title
Superimposed concatenated codes (Corresp.)
Abstract
A family of codes of lengthn=q^{s+l}over GF(q), with2s leq qare presented which are constructed by superimposing concatenated codes on a concatenated code. The raterand the distance ratiodeltaof the new codes satisfy the relationr=1-delta+delta ln (delta)for sufficiently large values ofnandq/s. The new codes are superior to the comparable Bose-Chaudhuri-Hocquenghem (BCH) codes, forsgeq 3, in the sense that they contain more codewords. An asymptotically good code constructed using these new codes has a distance ratio greater than those of other asymptotically good codes known to the authors for rates smaller than 0.007.
Year
DOI
Venue
1980
10.1109/TIT.1980.1056267
Information Theory, IEEE Transactions  
Keywords
Field
DocType
Concatenated codes
Discrete mathematics,Combinatorics,Concatenated error correction code,Expander code,Reed–Solomon error correction,BCH code,Linear code,Concatenation,Mathematics
Journal
Volume
Issue
ISSN
26
6
0018-9448
Citations 
PageRank 
References 
0
0.34
3
Authors
4
Name
Order
Citations
PageRank
Yasuo Sugiyama1220131.91
Masao Kasahara2290147.60
Shigeichi Hirasawa37853.22
Toshihiko Namekawa490107.56