A033869 Weight distribution of [79,40,15] binary quadratic-residue (or QR) code.

1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19513, 78052, 0, 0, 3220672, 9662016, 0, 0, 177021936, 413051184, 0, 0, 3705860928, 6882313152, 0, 0, 31883071220, 47824606830, 0, 0, 118486682496, 144817056384, 0, 0, 195553169504

Offset

0,16

Comments

Taken from the Tjhai-Tomlinson web site.

Links

Sean A. Irvine, Table of n, a(n) for n = 0..79

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

Example

The weight distribution is:
i A_i
0 1
15 19513
16 78052
19 3220672
20 9662016
23 177021936
24 413051184
27 3705860928
28 6882313152
31 31883071220
32 47824606830
35 118486682496
36 144817056384
39 195553169504
40 195553169504
43 144817056384
44 118486682496
47 47824606830
48 31883071220
51 6882313152
52 3705860928
55 413051184
56 177021936
59 9662016
60 3220672
63 78052
64 19513
79 1

Crossrefs

Sequence in context: A345831 A322101 A206274 * A031801 A022213 A093219

Adjacent sequences: A033866 A033867 A033868 * A033870 A033871 A033872

Keyword

nonn,fini,full

Author

N. J. A. Sloane, Apr 10 2009

Status

approved