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A001726 Weight distribution of [ 64,22,16 ] 2nd-order Reed-Muller code of length 64. 2
1, 0, 0, 0, 2604, 0, 291648, 888832, 1828134, 888832, 291648, 0, 2604, 0, 0, 0, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,5
REFERENCES
F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes, Elsevier-North Holland, 1978.
LINKS
E. R. Berlekamp and N. J. A. Sloane, Weight Enumerator for Second-Order Reed-Muller Codes, IEEE Trans. Information Theory, IT-16 (1970), 745-751.
Claude Carlet and Patrick Solé, The weight spectrum of several families of Reed-Muller codes, arXiv:2301.13497 [cs.IT], 2023.
M. Terada, J. Asatani and T. Koumoto, Weight Distribution
EXAMPLE
x^64 + 2604*x^48*y^16 + 291648*x^40*y^24 + 888832*x^36*y^28 + 1828134*x^32*y^32 + 888832*x^28*y^36 + 291648*x^24*y^40 + 2604*x^16*y^48 + y^64
CROSSREFS
Sequence in context: A183965 A031549 A031729 * A109487 A015309 A212083
KEYWORD
nonn,fini,full
AUTHOR
STATUS
approved

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Last modified March 19 04:26 EDT 2024. Contains 370952 sequences. (Running on oeis4.)