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Cantor–Zassenhaus algorithm
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#	Item
1	A new index calculus algorithm with complexity L(1/4 + o(1)) in small characteristic Antoine Joux CryptoExperts and Universit´e de Versailles Saint-Quentin-en-Yvelines, Laboratoire PRISM, Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2013-07-24 03:29:23 Polynomials Finite field Irreducible polynomial XTR General number field sieve Field Monic polynomial Factorization of polynomials over a finite field and irreducibility tests Cantor–Zassenhaus algorithm Abstract algebra Algebra Mathematics
2	Index Calculus Attack for Hyperelliptic Curves of Small Genus Nicolas Th´eriault University of Toronto Abstract. We present a variation of the index calculus attack by Gaudry Add to Reading List Source URL: www.iacr.org Language: English - Date: 2008-09-15 00:54:54 Finite fields Integer sequences Field theory Computer algebra Divisor Ample line bundle Cantor–Zassenhaus algorithm Prime number Anatolii Alexeevitch Karatsuba Abstract algebra Mathematics Algebra
3	COMPUTING DISCRETE LOGARITHMS IN F36·137 AND F36·163 USING MAGMA GORA ADJ, ALFRED MENEZES, THOMAZ OLIVEIRA, AND FRANCISCO RODR´IGUEZ-HENR´IQUEZ Abstract. We show that a Magma implementation of Joux’s new L[1/4] alg Add to Reading List Source URL: cacr.uwaterloo.ca Language: English - Date: 2014-02-26 21:38:13 Finite fields Logarithms Cryptography Group theory Polynomials Euclidean algorithm Discrete logarithm Factorization of polynomials over a finite field and irreducibility tests Cantor–Zassenhaus algorithm Abstract algebra Mathematics Algebra

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