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A006028 Weight distribution of [ 128,99,8 ] 4th order Reed-Muller code RM(4,7). +0
2
1, 0, 0, 0, 188976, 0, 148157184, 5805342720, 352501184760, 14090340827136, 445990551166720, 11148730324353024, 224814298345622160, 3704888469231108096, 50486579825291883008, 574502111223143792640, 5505259862572668584988 (list; graph; listen)
OFFSET

0,5

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.

EXAMPLE

u^128 + 188976*u^120*v^8 + 148157184*u^116*v^12 + 5805342720*u^114*v^14 +

352501184760*u^112*v^16 + 14090340827136*u^110*v^18 + 445990551166720*u^108*v^20 +

11148730324353024*u^106*v^22 + 224814298345622160*u^104*v^24 +

3704888469231108096*u^102*v^26 + 50486579825291883008*u^100*v^28 +

574502111223143792640*u^98*v^30 + 5505259862572668584988*u^96*v^32 +

44748635843913605775360*u^94*v^34 + 310470295870406870385152*u^92*v^36 +

1848689416882328323358720*u^90*v^38 + 9492309127074743252712240*u^88*v^40 +

42202740208778987487756288*u^86*v^42 + 163056041735354833829648640*u^84*v^44 +

549191653630903808742490112*u^82*v^46 + 1616902022777436781296463560*u^80*v^48 +

4170947258549850556429074432*u^78*v^50 + 9445968792148616532912076032*u^76*v^52 +

18812726104570634921033072640*u^74*v^54 + 32995567020448757300816680976*u^72*v^56 +

51020368602507380313683656704*u^70*v^58 + 69612536825673328395392461824*u^68*v^60 +

83858994648178551820509904896*u^66*v^62 + 89224971989924438343276144710*u^64*v^64 +

83858994648178551820509904896*u^62*v^66 + 69612536825673328395392461824*u^60*v^68 +

51020368602507380313683656704*u^58*v^70 + 32995567020448757300816680976*u^56*v^72 +

18812726104570634921033072640*u^54*v^74 + 9445968792148616532912076032*u^52*v^76 +

4170947258549850556429074432*u^50*v^78 + 1616902022777436781296463560*u^48*v^80 +

549191653630903808742490112*u^46*v^82 + 163056041735354833829648640*u^44*v^84 +

42202740208778987487756288*u^42*v^86 + 9492309127074743252712240*u^40*v^88 +

1848689416882328323358720*u^38*v^90 + 310470295870406870385152*u^36*v^92 +

44748635843913605775360*u^34*v^94 + 5505259862572668584988*u^32*v^96 +

574502111223143792640*u^30*v^98 + 50486579825291883008*u^28*v^100 +

3704888469231108096*u^26*v^102 + 224814298345622160*u^24*v^104 +

11148730324353024*u^22*v^106 + 445990551166720*u^20*v^108 + 14090340827136*u^18*v^110 +

352501184760*u^16*v^112 + 5805342720*u^14*v^114 + 148157184*u^12*v^116 + 188976*u^8*v^120 + v^128.

PROGRAM

(MAGMA) C:=ReedMullerCode(4, 7); w1<u, v>:=WeightEnumerator(C);

CROSSREFS

Cf. A006006, A010083.

Sequence in context: A092013 A046507 A110069 this_sequence A131907 A013901 A069305

Adjacent sequences: A006025 A006026 A006027 this_sequence A006029 A006030 A006031

KEYWORD

nonn,fini

AUTHOR

njas

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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