A145982 Weight distribution of [73,37,13] binary quadratic-residue (or QR) code.

1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1533, 6570, 19272, 69861, 266085, 827820, 2292200, 6188940, 15841584, 37443744, 82642716, 172172325, 337713987, 623471976, 1086405418, 1784808901, 2766489030, 4057517244, 5630090544

Offset

0,14

Comments

Taken from the Tjhai-Tomlinson web site.

Links

Table of n, a(n) for n=0..31.

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
13 1533
14 6570
15 19272
16 69861
17 266085
18 827820
19 2292200
20 6188940
21 15841584
22 37443744
23 82642716
24 172172325
25 337713987
26 623471976
27 1086405418
28 1784808901
29 2766489030
30 4057517244
31 5630090544
32 7389493839
33 9183695358
34 10804347480
35 12034542312
36 12703127996
37 12703127996
38 12034542312
39 10804347480
40 9183695358
41 7389493839
42 5630090544
43 4057517244
44 2766489030
45 1784808901
46 1086405418
47 623471976
48 337713987
49 172172325
50 82642716
51 37443744
52 15841584
53 6188940
54 2292200
55 827820
56 266085
57 69861
58 19272
59 6570
60 1533
73 1

Crossrefs

Sequence in context: A296781 A278192 A248689 * A251891 A088362 A045123

Adjacent sequences: A145979 A145980 A145981 * A145983 A145984 A145985

Keyword

nonn,fini

Author

N. J. A. Sloane, Apr 09 2009

Status

approved