A001294 - OEIS

A001294

Triangle in which k-th number (0<=k<=n) in n-th row (0<=n) is number of dodecads in Golay code G_24 containing k given points and missing n-k given points.

2576, 1288, 1288, 616, 672, 616, 280, 336, 336, 280, 120, 160, 176, 160, 120, 48, 72, 88, 88, 72, 48, 16, 32, 40, 48, 40, 32, 16, 0, 16, 16, 24, 24, 16, 16, 0, 0, 0, 16, 0, 24, 0, 16, 0, 0

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OFFSET

0,1

REFERENCES

J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 278.

F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes, Elsevier-North Holland, 1978, p. 68.

LINKS

Table of n, a(n) for n=0..44.

J. H. Conway and N. J. A. Sloane, Orbit and coset analysis of the Golay and related codes, IEEE Trans. Inform. Theory, 36 (1990), 1038-1050.

EXAMPLE

Triangle begins:

2576;