Implementation of a Key Exchange Protocol Using Some Real Quadratic Fields. - Renate Scheidler; Johannes Buchmann 001; Hugh C. Williams (EUROCRYPT, 1990)

A Key-Exchange Protocol Using Real Quadratic Fields. - Renate Scheidler; Johannes Buchmann 001; Hugh C. Williams (J. Cryptol., 1994)

A Public-Key Cryptosystem Utilizing Cyclotomic Fields. - Renate Scheidler; Hugh C. Williams (Des. Codes Cryptogr., 1995)

Compact Representation in Real Quadratic Congruence Function Fields. - Renate Scheidler (ANTS, 1996)

Key-Exchange in Real Quadratic Congruence Function Fields. - Renate Scheidler; Andreas Stein; Hugh C. Williams (Des. Codes Cryptogr., 1996)

Further tabulation of the Erdös-Selfridge function. - Richard F. Lukes; Renate Scheidler; Hugh C. Williams (Math. Comput., 1997)

Unit Computation in Purely Cubic Function Fields of Unit Rank 1. - Renate Scheidler; Andreas Stein (ANTS, 1998)

A Public-Key Cryptosystem Using Purely Cubic Fields. - Renate Scheidler (J. Cryptol., 1998)

Reduction in Purely Cubic Function Fields of Unit Rank One. - Renate Scheidler (ANTS, 2000)

Decision Problems in Quadratic Function Fields of High Genus. - Renate Scheidler (J. Complex., 2000)

Voronoi's algorithm in purely cubic congruence function fields of unit rank 1. - Renate Scheidler; Andreas Stein (Math. Comput., 2000)

Cryptography in Quadratic Function Fields. - Renate Scheidler (Des. Codes Cryptogr., 2001)

Computation of the Fundamental Units and the Regulator of a Cyclic Cubic Function Field. - Yoonjin Lee; Renate Scheidler; Christopher Yarrish (Exp. Math., 2003)

Algorithmic Aspects of Cubic Function Fields. - Renate Scheidler (ANTS, 2004)

An Improved Real-Quadratic-Field-Based Key Exchange Procedure. - Michael J. Jacobson Jr.; Renate Scheidler; Hugh C. Williams (J. Cryptol., 2006)

Cryptographic protocols on real hyperelliptic curves. - Michael J. Jacobson Jr.; Renate Scheidler; Andreas Stein (Adv. Math. Commun., 2007)

Class number approximation in cubic function fields. - Renate Scheidler; Andreas Stein (Contributions Discret. Math., 2007)

An explicit treatment of biquadratic function fields. - Qingquan Wu; Renate Scheidler (Contributions Discret. Math., 2007)

An Adaptation of the NICE Cryptosystem to Real Quadratic Orders. - Michael J. Jacobson Jr.; Renate Scheidler; Daniel Weimer (AFRICACRYPT, 2008)

Tabulation of Cubic Function Fields with Imaginary and Unusual Hessian. - Pieter Rozenhart; Renate Scheidler (ANTS, 2008)

Cryptanalysis using genetic algorithms. - Karel P. Bergmann; Renate Scheidler; Christian Jacob 001 (GECCO, 2008)

Construction of hyperelliptic function fields of high three-rank. - Mark L. Bauer; Michael J. Jacobson Jr.; Yoonjin Lee; Renate Scheidler (Math. Comput., 2008)

Efficient reduction of large divisors on hyperelliptic curves. - Roberto Avanzi; Michael J. Jacobson Jr.; Renate Scheidler (Adv. Math. Commun., 2010)

Cryptographic Aspects of Real Hyperelliptic Curves. - Michael J. Jacobson Jr.; Renate Scheidler; Andreas Stein (IACR Cryptol. ePrint Arch., 2010)

The l-Rank Structure of a Global Function Field. - Lisa Berger; Jing Long Hoelscher; Yoonjin Lee; Jennifer Paulhus; Renate Scheidler (WIN - Women in Numbers, 2011)

Improved Exponentiation and Key Agreement in the Infrastructure of a Real Quadratic Field. - Vanessa Dixon; Michael J. Jacobson Jr.; Renate Scheidler (LATINCRYPT, 2012)

Tabulation of cubic function fields via polynomial binary cubic forms. - Pieter Rozenhart; Michael J. Jacobson Jr.; Renate Scheidler (Math. Comput., 2012)

Hyperelliptic curves. - Michael J. Jacobson Jr.; Renate Scheidler (Handbook of Finite Fields, 2013)

Comparison of scalar multiplication on real hyperelliptic curves. - Michael J. Jacobson Jr.; Monireh Rezai Rad; Renate Scheidler (Adv. Math. Commun., 2014)

Improved Efficiency of a Linearly Homomorphic Cryptosystem. - Parthasarathi Das; Michael J. Jacobson Jr.; Renate Scheidler (C2SI, 2019)

Computing modular polynomials and isogenies of rank two Drinfeld modules over finite fields. - Perlas Caranay; Matthew Greenberg; Renate Scheidler (75 Years of Mathematics of Computation, 2020)

Orienteering with one endomorphism. - Sarah Arpin; Mingjie Chen; Kristin E. Lauter; Renate Scheidler; Katherine E. Stange; Ha T. N. Tran (IACR Cryptol. ePrint Arch., 2022)

Orientations and cycles in supersingular isogeny graphs. - Sarah Arpin; Mingjie Chen; Kristin E. Lauter; Renate Scheidler; Katherine E. Stange; Ha T. N. Tran (IACR Cryptol. ePrint Arch., 2022)

PEARL-SCALLOP: Parameter Extension Applicable in Real-Life SCALLOP. - Bill Allombert; Jean-François Biasse; Jonathan Komada Eriksen; Péter Kutas; Chris Leonardi; Aurel Page; Renate Scheidler; Márton Tot Bagi (IACR Cryptol. ePrint Arch., 2024)

Faster SCALLOP from Non-prime Conductor Suborders in Medium Sized Quadratic Fields. - Bill Allombert; Jean-François Biasse; Jonathan Komada Eriksen; Péter Kutas; Chris Leonardi; Aurel Page; Renate Scheidler; Márton Tot Bagi (PKC (3), 2025)