A006028 - OEIS

This site is supported by donations to The OEIS Foundation.

A006028

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

1, 0, 0, 0, 188976, 0, 148157184, 5805342720, 352501184760, 14090340827136, 445990551166720, 11148730324353024, 224814298345622160, 3704888469231108096, 50486579825291883008, 574502111223143792640, 5505259862572668584988 (list; graph; refs; listen; history; internal format)

	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.` `M. Terada, J. Asatani and T. Koumoto, Weight Distribution`
	EXAMPLE	`u^128 + 188976u^120v^8 + 148157184u^116v^12 + 5805342720u^114v^14 +` `352501184760u^112v^16 + 14090340827136u^110v^18 + 445990551166720u^108v^20 +` `11148730324353024u^106v^22 + 224814298345622160u^104v^24 +` `3704888469231108096u^102v^26 + 50486579825291883008u^100v^28 +` `574502111223143792640u^98v^30 + 5505259862572668584988u^96v^32 +` `44748635843913605775360u^94v^34 + 310470295870406870385152u^92v^36 +` `1848689416882328323358720u^90v^38 + 9492309127074743252712240u^88v^40 +` `42202740208778987487756288u^86v^42 + 163056041735354833829648640u^84v^44 +` `549191653630903808742490112u^82v^46 + 1616902022777436781296463560u^80v^48 +` `4170947258549850556429074432u^78v^50 + 9445968792148616532912076032u^76v^52 +` `18812726104570634921033072640u^74v^54 + 32995567020448757300816680976u^72v^56 +` `51020368602507380313683656704u^70v^58 + 69612536825673328395392461824u^68v^60 +` `83858994648178551820509904896u^66v^62 + 89224971989924438343276144710u^64v^64 +` `83858994648178551820509904896u^62v^66 + 69612536825673328395392461824u^60v^68 +` `51020368602507380313683656704u^58v^70 + 32995567020448757300816680976u^56v^72 +` `18812726104570634921033072640u^54v^74 + 9445968792148616532912076032u^52v^76 +` `4170947258549850556429074432u^50v^78 + 1616902022777436781296463560u^48v^80 +` `549191653630903808742490112u^46v^82 + 163056041735354833829648640u^44v^84 +` `42202740208778987487756288u^42v^86 + 9492309127074743252712240u^40v^88 +` `1848689416882328323358720u^38v^90 + 310470295870406870385152u^36v^92 +` `44748635843913605775360u^34v^94 + 5505259862572668584988u^32v^96 +` `574502111223143792640u^30v^98 + 50486579825291883008u^28v^100 +` `3704888469231108096u^26v^102 + 224814298345622160u^24v^104 +` `11148730324353024u^22v^106 + 445990551166720u^20v^108 + 14090340827136u^18v^110 +` `352501184760u^16v^112 + 5805342720u^14v^114 + 148157184u^12v^116 + 188976u^8v^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`
	PROG	`(MAGMA) C:=ReedMullerCode(4, 7); w1<u, v>:=WeightEnumerator(C);`
	CROSSREFS	`Cf. A006006, A010083.` `Sequence in context: A151422 A186137 A110069 * A206018 A186584 A178289` `Adjacent sequences: A006025 A006026 A006027 * A006029 A006030 A006031`
	KEYWORD	`nonn,fini`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com).`

Content is available under The OEIS End-User License Agreement .

Last modified February 17 08:21 EST 2012. Contains 205998 sequences.