A001381 Weight distribution of binary [ 48,24,12 ] quadratic residue code.

1, 0, 0, 17296, 535095, 3995376, 7681680, 3995376, 535095, 17296, 0, 0, 1

Offset

0,4

References

F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes, Elsevier-North Holland, 1978, p. 494, 604.

Links

Table of n, a(n) for n=0..12.

C. J. Tjhai and Martin Tomlinson, Weight Distributions of Quadratic Residue and Quadratic Double Circulant Codes over GF(2)

Example

x^48 + 17296*x^36*y^12 + 535095*x^32*y^16 + 3995376*x^28*y^20 + 7681680*x^24*y^24 + 3995376*x^20*y^28 + 535095*x^16*y^32 + 17296*x^12*y^36 + y^48.

Prog

(Magma) C:=QRCode(GF(2), 47); D:=ExtendCode(C); W<x, y>:=WeightEnumerator(D); W;

Crossrefs

Sequence in context: A229683 A228379 A230164 * A219357 A219325 A255780

Adjacent sequences: A001378 A001379 A001380 * A001382 A001383 A001384

Keyword

nonn,fini,full

Author

N. J. A. Sloane

Status

approved