A quasi quadratic time algorithm for hyperelliptic curve point counting

The Magma Algebra System I: The User Language

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Engineering, Magma Algebra System, Representation Theory +5

Factoring polynomials with rational coefficients

A. K. Lenstra, H. W. Lenstra, László Lovász · Mathematische Annalen · 1982 · 3.9K citations · Full text

Rational Coefficients, Computational Number Theory

Small Solutions to Polynomial Equations, and Low Exponent RSA Vulnerabilities

Don Coppersmith · Journal of Cryptology · 1997 · 761 citations · Full text

Cryptographic Primitive, Computational Number Theory, Post-quantum Cryptography +4

Endomorphisms of abelian varieties over finite fields

John Tate · Inventiones mathematicae · 1966 · 675 citations

Finite Geometry, Finite Field, Finite Fields +1

Hyperelliptic cryptosystems

Neal Koblitz · Journal of Cryptology · 1989 · 452 citations · Full text