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TCS
2008
13 years 5 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...
ADT
2005
13 years 5 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
TIT
2002
54views more  TIT 2002»
13 years 4 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
TIT
2002
62views more  TIT 2002»
13 years 4 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.
CORR
2008
Springer
107views Education» more  CORR 2008»
13 years 5 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