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Primes in quadratic unique factorization domains

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Publication:301417
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DOI10.1016/j.jnt.2016.04.022zbMath1401.11159OpenAlexW2409035550MaRDI QIDQ301417

Nikita Kondratyonok, Nikolai Prochorov, Maksim Vaskouski

Publication date: 30 June 2016

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2016.04.022


zbMATH Keywords

Euclidean domainMiller-Rabin testprimality criterionsquadratic UFDRSA-cryptosystem


Mathematics Subject Classification ID

Quadratic extensions (11R11) Units and factorization (11R27) Cryptography (94A60) Primes (11A41) Primality (11Y11)




Cites Work

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  • Shortest division chains in unique factorization domains
  • Binary quadratic forms. An algorithmic approach
  • Probabilistic algorithm for testing primality
  • Riemann's hypothesis and tests for primality
  • Cryptanalysis of short RSA secret exponents
  • A method for obtaining digital signatures and public-key cryptosystems
  • Euclidean Quadratic Fields


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