Title
On efficient high-order spectral-null codes
Abstract
Let S (N,q) be the set of all words of length N over the bipolar alphabet (-1,+1), having a qth order spectral-null at zero frequency. Any subset of S (N,q) is a spectral-null code of length N and order q. This correspondence gives an equivalent formulation of S(N,q) in terms of codes over the binary alphabet (0,1), shows that S(N,2) is equivalent to a well-known class of single-error correcting and all unidirectional-error detecting (SEC-AUED) codes, derives an explicit expression for the redundancy of S(N,2), and presents new efficient recursive design methods for second-order spectral-null codes which are less redundant than the codes found in the literature
Year
DOI
Venue
1999
10.1109/18.796412
IEEE Transactions on Information Theory
Keywords
Field
DocType
bipolar alphabet,sec-aued codes,zero frequency,error detection codes,efficient recursive code design methods,high-order spectral-null codes,spectral analysis,error correction codes,recursive design methods,single error correcting codes,unidirectional error detecting codes,redundancy,balanced codes,single error correcting-all unidirectional error detecting codes,code redundancy,partial response channels,second-order spectral-null codes,code length,computer simulation,design method,design methodology,binary codes,channel capacity,decoding,second order,error detection,error correction,block codes
Discrete mathematics,Combinatorics,Computer science,Block code,Binary code,Expander code,Redundancy (engineering),Linear code,Decoding methods,Channel capacity,Binary number
Journal
Volume
Issue
ISSN
45
7
0018-9448
ISBN
Citations 
PageRank 
0-7803-2453-6
13
1.01
References 
Authors
12
3
Name
Order
Citations
PageRank
Luca G. Tallini116123.93
Sulaiman Al-Bassam2898.30
Bimal K. Bose316619.45