A001727 Weight distribution of [64,42,8] 3rd-order Reed-Muller code of length 64.

1, 0, 0, 0, 11160, 0, 1749888, 22855680, 232081500, 1717223424, 9366150528, 38269550592, 119637587496, 286573658112, 533982211840, 771854598144, 874731154374, 771854598144, 533982211840, 286573658112

Offset

0,5

Links

Georg Fischer, Table of n, a(n) for n = 0..32

M. Terada, J. Asatani and T. Koumoto, Weight Distribution

List of weight distributions

Example

11160*x^8*y^56 + 771854598144*x^30*y^34 + 22855680*x^14*y^50 + 286573658112*x^26*y^38 + 38269550592*x^22*y^42 + 9366150528*x^20*y^44 + 232081500*x^16*y^48 + 1717223424*x^46*y^18 + 9366150528*x^44*y^20 + y^64 + 874731154374*x^32*y^32 + 533982211840*x^36*y^28 + 38269550592*x^42*y^22 + 533982211840*x^28*y^36 + 1717223424*x^18*y^46 + 1749888*x^12*y^52 + 286573658112*x^38*y^26 + 771854598144*x^34*y^30 + 119637587496*x^24*y^40 + 1749888*x^52*y^12 + 22855680*x^50*y^14 + 232081500*x^48*y^16 + 119637587496*x^40*y^24 + x^64 + 11160*x^56*y^8
The weight distribution is:
i A_i
0 1
8 11160
12 1749888
14 22855680
16 232081500
18 1717223424
20 9366150528
22 38269550592
24 119637587496
26 286573658112
28 533982211840
30 771854598144
32 874731154374
34 771854598144
36 533982211840
38 286573658112
40 119637587496
42 38269550592
44 9366150528
46 1717223424
48 232081500
50 22855680
52 1749888
56 11160
64 1

Crossrefs

Cf. A001726.

Sequence in context: A205473 A250687 A342246 * A190793 A247925 A359871

Adjacent sequences: A001724 A001725 A001726 * A001728 A001729 A001730

Keyword

nonn,fini,full

Author

N. J. A. Sloane

Status

approved