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Elliptic Gauss sums and applications to point counting

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Publication:979143
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DOI10.1016/j.jsc.2010.01.004zbMath1203.11047OpenAlexW2019382035MaRDI QIDQ979143

Victor Vuletescu, Preda Mihaĭlescu

Publication date: 25 June 2010

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsc.2010.01.004


zbMATH Keywords

algorithms and complexityelliptic curves over finite fieldsGauss sums and generalizations


Mathematics Subject Classification ID

Number-theoretic algorithms; complexity (11Y16) Curves over finite and local fields (11G20) Other character sums and Gauss sums (11T24)


Related Items

Computational Number Theory and Cryptography ⋮ Abelian lifts of polynomials ⋮ Computing isomorphisms and embeddings of finite fields



Cites Work

  • PRIMES is in P
  • Fast algorithms for computing isogenies between elliptic curves
  • Elliptic Curves Over Finite Fields and the Computation of Square Roots mod p
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