cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-3 of 3 results.

A006028 Weight distribution of [ 128,99,8 ] 4th-order Reed-Muller code RM(4,7).

Original entry on oeis.org

1, 0, 0, 0, 188976, 0, 148157184, 5805342720, 352501184760, 14090340827136, 445990551166720, 11148730324353024, 224814298345622160, 3704888469231108096, 50486579825291883008, 574502111223143792640, 5505259862572668584988
Offset: 0

Views

Author

N. J. A. Sloane

Keywords

Examples

			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.
i A_i
0 1
8 188976
12 148157184
14 5805342720
16 352501184760
18 14090340827136
20 445990551166720
22 11148730324353024
24 224814298345622160
26 3704888469231108096
28 50486579825291883008
30 574502111223143792640
32 5505259862572668584988
34 44748635843913605775360
36 310470295870406870385152
38 1848689416882328323358720
40 9492309127074743252712240
42 42202740208778987487756288
44 163056041735354833829648640
46 549191653630903808742490112
48 1616902022777436781296463560
50 4170947258549850556429074432
52 9445968792148616532912076032
54 18812726104570634921033072640
56 32995567020448757300816680976
58 51020368602507380313683656704
60 69612536825673328395392461824
62 83858994648178551820509904896
64 89224971989924438343276144710
66 83858994648178551820509904896
68 69612536825673328395392461824
70 51020368602507380313683656704
72 32995567020448757300816680976
74 18812726104570634921033072640
76 9445968792148616532912076032
78 4170947258549850556429074432
80 1616902022777436781296463560
82 549191653630903808742490112
84 163056041735354833829648640
86 42202740208778987487756288
88 9492309127074743252712240
90 1848689416882328323358720
92 310470295870406870385152
94 44748635843913605775360
96 5505259862572668584988
98 574502111223143792640
100 50486579825291883008
102 3704888469231108096
104 224814298345622160
106 11148730324353024
108 445990551166720
110 14090340827136
112 352501184760
114 5805342720
116 148157184
120 188976
128 1

Links

Crossrefs

Cf. A006006, A010083.

Programs

  • Magma
    C:=ReedMullerCode(4,7); w1:=WeightEnumerator(C);

A110845 Weight enumerator of [128,64,16] Reed-Muller code RM(3,7).

Original entry on oeis.org

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
Offset: 0

Views

Author

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

Keywords

Examples

			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

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

Crossrefs

Cf. A006006, A006028, A010083, A110846.

A110838 G.f.: 4th root of weight enumerator of [128,29,32] Reed-Muller code RM(2,7).

Original entry on oeis.org

1, 0, 0, 0, 2667, 0, 1322832, 28220416, 64456564, 28220416, -10582656000, -225791548416, -3159513791196, -112218399562752, -1393939076116272, -4364593638795264, 43266457908132892, 2086425405380843520, 35001966103959783936, 618735425426386200576, 11874999923669881148220
Offset: 0

Views

Author

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

Keywords

Links

Crossrefs

Cf. A006006.
Showing 1-3 of 3 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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