T-Direct codes: an application to T-user BAC

A T-Direct code is defined as the set of T F-ary linear codes /spl Gamma//sub 1/, /spl Gamma//sub 2/, ..., /spl Gamma//sub T/ such that /spl Gamma//sub i/ /spl cap/ /spl Gamma//sub i//sup /spl perp//={0} for each i, where /spl Gamma//sub i//sup /spl perp//= /spl Gamma//sub 1/ /spl oplus/ /spl Gamma/...

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Bibliographic Details
Main Authors: Vasantha, W.B., Raja Durai, R.S.
Format: Conference Proceeding
Language:English
Subjects:
Decoding
Galois fields
Linear code
Mathematics
Online Access:Request full text
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Summary:A T-Direct code is defined as the set of T F-ary linear codes /spl Gamma//sub 1/, /spl Gamma//sub 2/, ..., /spl Gamma//sub T/ such that /spl Gamma//sub i/ /spl cap/ /spl Gamma//sub i//sup /spl perp//={0} for each i, where /spl Gamma//sub i//sup /spl perp//= /spl Gamma//sub 1/ /spl oplus/ /spl Gamma//sub 2/ /spl oplus//spl middot//spl middot//spl middot//spl oplus/ /spl Gamma//sub i-1/ /spl oplus/ /spl Gamma//sub i+1/ /spl oplus//spl middot//spl middot//spl middot//spl oplus/ /spl Gamma//sub T/ is the dual of /spl Gamma//sub i/ with respect to the direct sum /spl Lambda/= /spl Gamma//sub 1/ /spl oplus/ /spl Gamma//sub 2/ /spl oplus//spl middot//spl middot//spl middot//spl oplus/ /spl Gamma//sub T/. An algebraic characterization to this class of codes is given. An application of T-Direct codes to the noiseless T-user binary adder channel is also presented.
DOI:10.1109/ITW.2002.1115470