syndtable - Produce syndrome decoding table
Syntax
t = syndtable(h)
Description
t = syndtable(h) returns
a decoding table for an error-correcting binary code having codeword
length n and message length k. h is an (n-k)-by-n
parity-check matrix for the code. t is a 2n-k-by-n
binary matrix. The rth row of t is an error pattern
for a received binary codeword whose syndrome has decimal integer
value r-1. (The syndrome of a received codeword is its product with
the transpose of the parity-check matrix.) In other words, the rows
of t represent the coset leaders from the code's
standard array.
When converting between binary and decimal values, the leftmost
column is interpreted as the most significant
digit. This differs from the default convention in the bi2de and de2bi commands.
Examples
An example is in Decoding Table.
See Also
decode, hammgen, gfcosets, Block Coding
References
[1] Clark, George C., Jr., and J. Bibb
Cain, Error-Correction Coding for Digital Communications,
New York, Plenum, 1981.
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