A120373 Weight distribution of [72,36,12] doubly-even binary self-dual extended quadratic-residue (or QR) code.

1, 0, 0, 2982, 214065, 18303516, 462306915, 4398818490, 16600354155, 25759476488, 16600354155, 4398818490, 462306915, 18303516, 214065, 2982, 0, 0, 1

Offset

0,4

References

F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes, Elsevier/North Holland, 1977, Chap. 16.

Links

Table of n, a(n) for n=0..18.

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

Example

The actual weight enumerator is x^72 + 2982*x^60*y^12 + 214065*x^56*y^16 + 18303516*x^52*y^20 + 462306915*x^48*y^24 + y^72 + 4398818490*x^44*y^28 + 16600354155*x^40*y^32 + 25759476488*x^36*y^36 + 16600354155*x^32*y^40 + 4398818490*x^28*y^44 + 462306915*x^24*y^48 + 18303516*x^20*y^52 + 214065*x^16*y^56 + 2982*x^12*y^60.

Crossrefs

Cf. A018236.

Sequence in context: A202775 A235744 A235503 * A365258 A186866 A252571

Adjacent sequences: A120370 A120371 A120372 * A120374 A120375 A120376

Keyword

nonn,fini,full

Author

N. J. A. Sloane, Mar 19 2009

Extensions

Name corrected by Jon-Lark Kim, Aug 16 2024

Status

approved