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A120373 Weight distribution of [72,36,16] doubly-even binary self-dual extended quadratic-residue (or QR) code. 5
1, 0, 0, 2982, 214065, 18303516, 462306915, 4398818490, 16600354155, 25759476488, 16600354155, 4398818490, 462306915, 18303516, 214065, 2982, 0, 0, 1 (list; graph; refs; listen; history; text; internal format)
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 * A186866 A252571 A231628

Adjacent sequences:  A120370 A120371 A120372 * A120374 A120375 A120376

KEYWORD

nonn,fini,full

AUTHOR

N. J. A. Sloane, Mar 19 2009

STATUS

approved

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Last modified January 23 21:55 EST 2021. Contains 340386 sequences. (Running on oeis4.)