Discrete logarithms inGF(p)

  title={Discrete logarithms inGF(p)},
  author={Don Coppersmith and Andrew M. Odlyzko and Richard Schroeppel},
Several related algorithms are presented for computing logarithms in fieldsGF(p),p a prime. Heuristic arguments predict a running time of exp((1+o(1)) $$\sqrt {\log p \log \log p} $$ ) for the initial precomputation phase that is needed for eachp, and much shorter running times for computing individual logarithms once the precomputation is done. The running time of the precomputation is roughly the same as that of the fastest known algorithms for factoring integers of size aboutp. The… CONTINUE READING
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