A169761 Consider binary linear [N,K,D] codes with D=6 and redundancy R = N-K = n; a(n) = maximal value of N.

6, 7, 9, 12, 18, 24, 34

Offset: 5

Author

N. J. A. Sloane, May 08 2010

Keywords

• nonn
• more

Comments

A binary linear [N,K,D] code has length N, dimension K and minimal distance D.

Examples

			a(9) = 18 corresponds to the [18,9,6] extended quadratic residue code.
		

References

• A. E. Brouwer, J. B. Shearer, N. J. A. Sloane and W. D. Smith, New table of constant weight codes, IEEE Trans. Info. Theory 36 (1990), 1334-1380.
• F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes, Elsevier-North Holland, 1978.

Links

• M. Grassl, Bounds on the minimum distance of linear codes

Crossrefs

Cf. A169762, A005865.