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Search: id:A110845
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A110845 Weight enumerator of [128,64,16] Reed-Muller code RM(3,7). +0
2
1, 0, 0, 0, 94488, 0, 74078592, 3128434688, 312335197020, 18125860315136, 552366841342848, 9491208609103872, 94117043084875944, 549823502398291968, 1920604779257215744, 4051966906789380096, 5193595576952890822, 4051966906789380096, 1920604779257215744, 549823502398291968, 94117043084875944, 9491208609103872, 552366841342848, 18125860315136, 312335197020, 3128434688, 74078592, 0, 94488, 0, 0, 0, 1 (list; graph; listen)
OFFSET

0,5

REFERENCES

M. Sugino, Y. Ienaga, M. Tokura and T. Kasami, Weight distribution of $(128,64)$ Reed-Muller code, IEEE Trans. Inform. Theory, 17 (1971), 627-628.

LINKS

N. Heninger, E. M. Rains and N. J. A. Sloane, On the Integrality of n-th Roots of Generating Functions, J. Combinatorial Theory, Series A, 113 (2006), 1732-1745.

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

EXAMPLE

x^128+94488*x^112+74078592*x^104+3128434688*x^100+312335197020*x^96+18125860315136*x^92+552366841342848*x^88+

9491208609103872*x^84+94117043084875944*x^80+549823502398291968*x^76+1920604779257215744*x^72+

4051966906789380096*x^68+5193595576952890822*x^64+4051966906789380096*x^60+1920604779257215744*x^56+

549823502398291968*x^52+94117043084875944*x^48+9491208609103872*x^44+552366841342848*x^40+18125860315136*x^36

+312335197020*x^32+3128434688*x^28+74078592*x^24+94488*x^16+1.

i A_i

0 1

16 94488

24 74078592

28 3128434688

32 312335197020

36 18125860315136

40 552366841342848

44 9491208609103872

48 94117043084875944

52 549823502398291968

56 1920604779257215744

60 4051966906789380096

64 5193595576952890822

68 4051966906789380096

72 1920604779257215744

76 549823502398291968

80 94117043084875944

84 9491208609103872

88 552366841342848

92 18125860315136

96 312335197020

100 3128434688

104 74078592

112 94488

128 1

CROSSREFS

Cf. A006006, A006028, A010083, A110846.

Sequence in context: A128277 A126708 A029754 this_sequence A030091 A128376 A128389

Adjacent sequences: A110842 A110843 A110844 this_sequence A110846 A110847 A110848

KEYWORD

nonn,fini,full

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com) and Nadia Heninger (nadiah(AT)cs.princeton.edu) Aug 18 2005

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.


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