Produce syndrome decoding table
t = syndtable(h)
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
t represent the coset leaders from the code's
When converting between binary and decimal values, the leftmost column is interpreted as the most significant digit.
An example is in Use Decoding Table in MATLAB.
 Clark, George C., Jr., and J. Bibb Cain, Error-Correction Coding for Digital Communications, New York, Plenum, 1981.