Speeding up the Discrete Log Computation on Curves with Automorphisms

Finding Secure Curves with the Satoh-FGH Algorithm and an Early-Abort Strategy

EUROCRYPT '01 Proceedings of the International Conference on the Theory and Application of Cryptographic Techniques: Advances in Cryptology

Speeding Up Point Multiplication on Hyperelliptic Curves with Efficiently-Computable Endomorphisms

EUROCRYPT '02 Proceedings of the International Conference on the Theory and Applications of Cryptographic Techniques: Advances in Cryptology

Construction of Hyperelliptic Curves with CM and Its Application to Cryptosystems

ASIACRYPT '00 Proceedings of the 6th International Conference on the Theory and Application of Cryptology and Information Security: Advances in Cryptology

Supersingular Curves in Cryptography

ASIACRYPT '01 Proceedings of the 7th International Conference on the Theory and Application of Cryptology and Information Security: Advances in Cryptology

An Extension of Kedlaya's Point-Counting Algorithm to Superelliptic Curves

ASIACRYPT '01 Proceedings of the 7th International Conference on the Theory and Application of Cryptology and Information Security: Advances in Cryptology

Weil descent of Jacobians

Discrete Applied Mathematics - Special issue: International workshop on coding and cryptography (WCC 2001)

Speeding Up Pairing Computations on Genus 2 Hyperelliptic Curves with Efficiently Computable Automorphisms

Pairing '08 Proceedings of the 2nd international conference on Pairing-Based Cryptography

Speeding Up the Pollard Rho Method on Prime Fields

ASIACRYPT '08 Proceedings of the 14th International Conference on the Theory and Application of Cryptology and Information Security: Advances in Cryptology

Subset-Restricted Random Walks for Pollard rho Method on ${\mathbf{F}_{p^m}}$

Irvine Proceedings of the 12th International Conference on Practice and Theory in Public Key Cryptography: PKC '09

Generating Genus Two Hyperelliptic Curves over Large Characteristic Finite Fields

EUROCRYPT '09 Proceedings of the 28th Annual International Conference on Advances in Cryptology: the Theory and Applications of Cryptographic Techniques

An algorithm for solving the discrete log problem on hyperelliptic curves

EUROCRYPT'00 Proceedings of the 19th international conference on Theory and application of cryptographic techniques

Computing bilinear pairings on elliptic curves with automorphisms

Designs, Codes and Cryptography

High-speed software implementation of the optimal ate pairing over Barreto-Naehrig curves

Pairing'10 Proceedings of the 4th international conference on Pairing-based cryptography

Compact hardware for computing the tate pairing over 128-bit-security supersingular curves

Pairing'10 Proceedings of the 4th international conference on Pairing-based cryptography

On the correct use of the negation map in the Pollard rho method

PKC'11 Proceedings of the 14th international conference on Practice and theory in public key cryptography conference on Public key cryptography

Suitable curves for genus-4 HCC over prime fields: point counting formulae for hyperelliptic curves of type y2 = x2k+1 + ax

ICALP'05 Proceedings of the 32nd international conference on Automata, Languages and Programming

New families of hyperelliptic curves with efficient gallant-lambert-vanstone method

ICISC'04 Proceedings of the 7th international conference on Information Security and Cryptology

Solving a 112-bit prime elliptic curve discrete logarithm problem on game consoles using sloppy reduction

International Journal of Applied Cryptography

Using equivalence classes to accelerate solving the discrete logarithm problem in a short interval

PKC'10 Proceedings of the 13th international conference on Practice and Theory in Public Key Cryptography

Computing elliptic curve discrete logarithms with the negation map

Information Sciences: an International Journal

Solving a 112-bit prime elliptic curve discrete logarithm problem on game consoles using sloppy reduction

International Journal of Applied Cryptography

Koblitz curve cryptosystems

Finite Fields and Their Applications