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A110845 Weight enumerator of [128,64,16] Reed-Muller code RM(3,7). 1
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; refs; listen; history; text; internal format)
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

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

Masaaki Harada, E Novak, VD Tonchev, The weight distribution of the self-dual [128, 64] polarity design code, arXiv preprint arXiv:1602.04661, 2016

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: A031675 A254977 A238143 * A348021 A248067 A252323

Adjacent sequences:  A110842 A110843 A110844 * A110846 A110847 A110848

KEYWORD

nonn,fini,full

AUTHOR

N. J. A. Sloane and Nadia Heninger Aug 18 2005

STATUS

approved

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Last modified January 22 19:25 EST 2022. Contains 350490 sequences. (Running on oeis4.)