Title :
On the existence of a certain (64, 32, 12) extremal code
Author :
Pless, Vera ; Tonchev, Vladimir ; Leon, Jefferey
Author_Institution :
Dept. of Math., Illinois Univ., Chicago, IL, USA
fDate :
1/1/1993 12:00:00 AM
Abstract :
J.H. Conway and N.J.A. Sloane (see ibid., vol.36, no.6, p.1319-33, Nov. 1990) give weight enumerators of several self-dual codes with the highest possible minimal distance whose existence was not known. A generator matrix for one of these, a Type I (64, 32, 12) code, is given, proving its existence. The method of construction is described
Keywords :
codes; Type I (64, 32, 12) code; extremal code; generator matrix; minimal distance; self-dual codes; weight enumerators; Binary codes; Mathematics; Notice of Violation;
Journal_Title :
Information Theory, IEEE Transactions on
