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Search: id:A010082
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| A010082 |
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Weight distribution of extended Hamming code of length 64. |
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+0
2
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| 1, 0, 10416, 1166592, 69194232, 2366570752, 51316746768, 747741998592, 7633243745820, 56276359749120, 306558278858160, 1255428754917120, 3916392495228360, 9399341113166592, 17480786291963792
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OFFSET
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0,3
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COMMENT
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Weight enumerator of [64,57,4] Reed-Muller code RM(4,6).
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REFERENCES
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F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes, Elsevier-North Holland, 1978, p. 129.
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EXAMPLE
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69194232*x^8*y^56 + 25316999607653376*x^30*y^34 + 747741998592*x^14*y^50 + 9399341113166592*x^26*y^38 + 1255428754917120*x^22*y^42 + 306558278858160*x^20*y^44 + 7633243745820*x^16*y^48 + 56276359749120*x^46*y^18 + 306558278858160*x^44*y^20 + y^64 + 28634752793916486*x^32*y^32 + 17480786291963792*x^36*y^28 + 1255428754917120*x^42*y^22 + 17480786291963792*x^28*y^36 + 56276359749120*x^18*y^46 + 10416*x^60*y^4 + 1166592*x^58*y^6 + 1166592*x^6*y^58 + 10416*x^4*y^60 + 51316746768*x^12*y^52 + 9399341113166592*x^38*y^26 + 25316999607653376*x^34*y^30 + 2366570752*x^10*y^54 + 3916392495228360*x^24*y^40 + 51316746768*x^52*y^12 + 747741998592*x^50*y^14 + 7633243745820*x^48*y^16 + 3916392495228360*x^40*y^24 + x^64 + 2366570752*x^54*y^10 + 69194232*x^56*y^8
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CROSSREFS
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Sequence in context: A035912 A104439 A031866 this_sequence A068759 A114126 A120500
Adjacent sequences: A010079 A010080 A010081 this_sequence A010083 A010084 A010085
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KEYWORD
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nonn,fini
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AUTHOR
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njas
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