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A001727 Weight distribution of [64,42,8] 3rd-order Reed-Muller code of length 64. 2
1, 0, 0, 0, 11160, 0, 1749888, 22855680, 232081500, 1717223424, 9366150528, 38269550592, 119637587496, 286573658112, 533982211840, 771854598144, 874731154374, 771854598144, 533982211840, 286573658112 (list; graph; refs; listen; history; text; internal format)
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 A271582

Adjacent sequences:  A001724 A001725 A001726 * A001728 A001729 A001730

KEYWORD

nonn,fini,full

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified May 20 16:35 EDT 2022. Contains 353875 sequences. (Running on oeis4.)