Title :
Lower bounds for constant weight codes
Author :
Graham, R.L. ; Sloane, N. A J
fDate :
1/1/1980 12:00:00 AM
Abstract :
Let

denote the maximum number of codewords in any binary code of length

, constant weight

, and Hamming distance

Several lower bounds for

are given. For

and

fixed,

and

as

. In most cases these are better than the "Gilbert bound." Revised tables of

are given in the range

and

.
Keywords :
Coding; Algebra; Entropy; Equations; Frequency; Hamming distance; Information geometry; Information theory; Mechanical variables measurement; Probability distribution; Quantum mechanics;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.1980.1056141