Short Linear Block Codes: Hamming, Golay and Reed-Muller codes

This is covered in Chapter 2 of the book.
 

Encoding and decoding of a Hamming code:
hamming.c

The decoding algorithm used in hamming.c is unique in the sense that the syndrome of the receive word gives directly the decimal representation of the error position.
 

Encoding and decoding of  the binary (23,12,7) Golay code:
golay23.c

Encoding and decoding are implemented with lookup tables.

Weight distribution of the binary (23,12,7) Golay code:
WD_golay23.m

Encoding and decoding of  the binary extended (24,12,8) Golay code:
golay24.c

An arithmetic decoding algorithm. It is a very close relative of the error-trapping decoding algorithms developed by Kasami in the 1960s.
 

Encoding and soft-decision decoding of the first-order RM code, RM(1,3):
rm13_awgn.c

Decoding with the Green machine. Binary transmission over an AWGN channel.


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This page was last updated on August 6, 2008, by Robert H. Morelos-Zaragoza.