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TCS
2008
14 years 10 months ago
A relation between trinucleotide comma-free codes and trinucleotide circular codes
The comma-free codes and circular codes are two important classes of codes in code theory and in genetics. Fifty years ago before the discovery of the genetic code, a trinucleotid...
Christian J. Michel, Giuseppe Pirillo, Mario A. Pi...
84
Voted
ADT
2005
14 years 10 months ago
Marker codes for channels with insertions and deletions
Coding for channels with synchronization errors is studied. Marker codes, each consisting of a low-density parity-check code with inserted markers, are developed. At low insertion...
Edward A. Ratzer
58
Voted
TIT
2002
54views more  TIT 2002»
14 years 10 months ago
Quasi-cyclic dyadic codes in the Walsh--Hadamard transform domain
A code is -quasi-cyclic ( -QC) if there is an integer such that cyclic shift of a codeword by -positions is also a codeword. For = 1, cyclic codes are obtained. A dyadic code is a ...
B. Sundar Rajan, Moon Ho Lee
75
Voted
TIT
2002
62views more  TIT 2002»
14 years 10 months ago
Random codes: Minimum distances and error exponents
Abstract--Minimum distances, distance distributions, and error exponents on a binary-symmetric channel (BSC) are given for typical codes from Shannon's random code ensemble an...
Alexander Barg, G. David Forney Jr.
60
Voted
CORR
2008
Springer
107views Education» more  CORR 2008»
14 years 10 months ago
The Perfect Binary One-Error-Correcting Codes of Length 15: Part I--Classification
Abstract The optimal one-error-correcting codes of length 13 that are doubly shortened perfect codes are classified utilizing the results of [
Patric R. J. Östergård, Olli Pottonen