Title :
Group code equivalence and optimum codes
Author :
Fontaine, A.B. ; Peterson, W.W.
fDate :
5/1/1959 12:00:00 AM
Abstract :
This paper describes a search for optimum group codes using the IBM 704 computer. Some theory of the relationship between equivalent codes used in narrowing the search is described, and the method of searching is outlined. The newly found optimum codes are listed, along with a number of counter-examples to typical conjectures on binary group codes.
Keywords :
Group codes; Arithmetic; Binary codes; Equations; Parity check codes;
Journal_Title :
Information Theory, IRE Transactions on
DOI :
10.1109/TIT.1959.1057538