Renate Scheidler

发表

Decision Problems in Quadratic Function Fields of High Genus

Renate Scheidler, 2000, J. Complex..

Cryptographic aspects of real hyperelliptic curves

Andreas Stein, Michael J. Jacobson, Renate Scheidler, 2010, IACR Cryptol. ePrint Arch..

Comparison of scalar multiplication on real hyperelliptic curves

Michael J. Jacobson, Renate Scheidler, Monireh Rezai Rad, 2014, Adv. Math. Commun..

Implementation of a key exchange protocol using real quadratic fields (extended abstract)

Johannes Buchmann, Renate Scheidler, Hugh C. Williams, 1991 .

Improved Exponentiation and Key Agreement in the Infrastructure of a Real Quadratic Field

Michael J. Jacobson, Renate Scheidler, Vanessa Dixon, 2012, LATINCRYPT.

Computation of the Fundamental Units and the Regulator of a Cyclic Cubic Function Field

Yoonjin Lee, Renate Scheidler, Christopher Yarrish, 2003, Exp. Math..

Compact Representation in Real Quadratic Congruence Function Fields

Renate Scheidler, R. Scheidler, 1996, ANTS.

A Public-Key Cryptosystem Using Purely Cubic Fields

Renate Scheidler, R. Scheidler, 1998, Journal of Cryptology.

Construction of hyperelliptic function fields of high three-rank

Yoonjin Lee, Michael J. Jacobson, Renate Scheidler, 2008, Math. Comput..

Efficient reduction of large divisors on hyperelliptic curves

Roberto Maria Avanzi, Michael J. Jacobson, Renate Scheidler, 2010, Adv. Math. Commun..

Class number approximation in cubic function fields

Andreas Stein, Renate Scheidler, A. Stein, 2007, Contributions Discret. Math..

Cryptanalysis using genetic algorithms

Christian Jacob, Renate Scheidler, Karel P. Bergmann, 2008, GECCO '08.

Computing modular polynomials and isogenies of rank two Drinfeld modules over finite fields

Renate Scheidler, Matthew Greenberg, Perlas Caranay, 2020, 75 Years of Mathematics of Computation.

Preface

Renate Scheidler, Jonathan Sorenson, 2006, Int. J. Image Graph..

Tabulation of Cubic Function Fields with Imaginary and Unusual Hessian

Renate Scheidler, Pieter Rozenhart, 2008, ANTS.

A public-key cryptosystem utilizing cyclotomic fields

Renate Scheidler, Hugh C. Williams, R. Scheidler, 1995, Des. Codes Cryptogr..

Tabulation of cubic function fields via polynomial binary cubic forms

Michael J. Jacobson, Renate Scheidler, Pieter Rozenhart, 2010, Math. Comput..

An explicit treatment of biquadratic function fields

Renate Scheidler, Qingquan Wu, R. Scheidler, 2007, Contributions Discret. Math..

Further tabulation of the Erdös-Selfridge function

Renate Scheidler, Hugh C. Williams, Richard F. Lukes, 1997, Math. Comput..

Reduction in Purely Cubic Function Fields of Unit Rank One

Renate Scheidler, 2000, ANTS.

Implementation of a Key Exchange Protocol Using Some Real Quadratic Fields

Johannes A. Buchmann, Renate Scheidler, Hugh C. Williams, 1990, EUROCRYPT.

An Improved Real-Quadratic-Field-Based Key Exchange Procedure

Michael J. Jacobson, Renate Scheidler, Hugh C. Williams, 2005, Journal of Cryptology.

Key-Exchange in Real Quadratic Congruence Function Fields

Andreas Stein, Renate Scheidler, Hugh C. Williams, 1996, Des. Codes Cryptogr..

Unit Computation in Purely Cubic Function Fields of Unit Rank 1

Andreas Stein, Renate Scheidler, A. Stein, 1998, ANTS.

Special issue on GEOCRYPT 2013

Nicolas Thériault, Renate Scheidler, Stéphane Ballet, 2014 .

Hyperelliptic curves

Michael J. Jacobson, Renate Scheidler, 2013, Handbook of Finite Fields.

Voronoi's algorithm in purely cubic congruence function fields of unit rank 1

Andreas Stein, Renate Scheidler, A. Stein, 2000, Math. Comput..

An Adaptation of the NICE Cryptosystem to Real Quadratic Orders

Michael J. Jacobson, Renate Scheidler, Daniel Weimer, 2008, AFRICACRYPT.

Cryptography in Quadratic Function Fields

Renate Scheidler, R. Scheidler, 2001, Des. Codes Cryptogr..

WIN - Women in Numbers - Research Directions in Number Theory

Kristin E. Lauter, Renate Scheidler, Rachel Pries, 2011, WIN - Women in Numbers.

Cryptographic protocols on real hyperelliptic curves

Andreas Stein, Michael J. Jacobson, Renate Scheidler, 2007, Adv. Math. Commun..

Improved Efficiency of a Linearly Homomorphic Cryptosystem

Michael J. Jacobson, Renate Scheidler, Parthasarathi Das, 2019, C2SI.

A key-exchange protocol using real quadratic fields

Johannes A. Buchmann, Renate Scheidler, Hugh C. Williams, 1994, Journal of Cryptology.

Algorithmic Aspects of Cubic Function Fields

Renate Scheidler, 2004, ANTS.

Orienteering with one endomorphism

Kristin E. Lauter, Renate Scheidler, Katherine E. Stange, 2022, IACR Cryptol. ePrint Arch..

Fast Arithmetic on Hyperelliptic Curves Via Continued Fraction Expansions

Andreas Stein, Michael J. Jacobson, Renate Scheidler, 2007 .

Applications of algebraic number theory to cryptography

Renate Scheidler, 1993 .

An Explicit Treatment of Cubic Function Fields with Applications

Renate Scheidler, Pieter Rozenhart, J. Webster, 2010, Canadian Journal of Mathematics.

Computing quadratic function fields with high 3-rank via cubic field tabulation

Renate Scheidler, Pieter Rozenhart, Michael Jacobson, 2010 .

Key-exchange in real quadratic congruence function fields

Andreas Stein, Renate Scheidler, Hugh C. Williams, 1996 .

A method of tabulating the number-theoretic function g(k)

Renate Scheidler, Hugh C. Williams, 1992 .

AN EFFICIENT SEVENTH POWER RESIDUE SYMBOL ALGORITHM

Renate Scheidler, R. Scheidler, Perlas C. Caranay, 2010 .

Ideal arithmetic and infrastructure in purely cubic function fields

Renate Scheidler, 2001 .