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Binomial coefficient codes over GF
Graham, binomial coefficient coding, discrete mathematics, number of codewords, industry convergence rate
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2015/7/14
Diaconis, P. and R. Graham, Binomial coefficient codes over GF(2) Discrete Mathematics
106/107 (1992) 181-188.
In this note we study codes over GF(2) which are generated for given d and r by binar...
Proofs of power sum and binomial coefficient congruences via Pascal's identity
binomial coefficient Pascal's identity
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2010/11/8
A frequently cited theorem says that for n > 0 and prime p, the sum of the first p n-th powers is congruent to -1 modulo p if p-1 divides n, and to 0 otherwise. We survey the main ingredients in seve...