Katherine E. Stange

According to our database, Katherine E. Stange authored at least 21 papers between 2006 and 2022.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of three.

2022

Factoring using multiplicative relations modulo n: a subexponential algorithm inspired by the index calculus.

Katherine E. Stange

IACR Cryptol. ePrint Arch., 2022

Failing to hash into supersingular isogeny graphs.

Jeremy Booher, Ross Bowden, Javad Doliskani, Tako Boris Fouotsa, Steven D. Galbraith, Sabrina Kunzweiler, Simon-Philipp Merz, Christophe Petit, Benjamin Smith, Katherine E. Stange, Yan Bo Ti, Christelle Vincent, José Felipe Voloch, Charlotte Weitkämper, Lukas Zobernig

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

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

Algebraic Number Starscapes.

Edmund Harriss, Katherine E. Stange, Steve Trettel

Exp. Math., 2022

2021

Algebraic Aspects of Solving Ring-LWE, Including Ring-Based Improvements in the Blum-Kalai-Wasserman Algorithm.

Katherine E. Stange

SIAM J. Appl. Algebra Geom., 2021

Improved Torsion-Point Attacks on SIDH Variants.

Victoria de Quehen, Péter Kutas, Chris Leonardi, Chloe Martindale, Lorenz Panny, Christophe Petit, Katherine E. Stange

Proceedings of the Advances in Cryptology - CRYPTO 2021, 2021

2020

Weak instances of SIDH variants under improved torsion-point attacks.

Péter Kutas, Chloe Martindale, Lorenz Panny, Christophe Petit, Katherine E. Stange

IACR Cryptol. ePrint Arch., 2020

2017

Attacks on the Search RLWE Problem with Small Errors.

Hao Chen, Kristin E. Lauter, Katherine E. Stange

SIAM J. Appl. Algebra Geom., 2017

2016

Vulnerable Galois RLWE Families and Improved Attacks.

Hao Chen, Kristin E. Lauter, Katherine E. Stange

IACR Cryptol. ePrint Arch., 2016

Security Considerations for Galois Non-dual RLWE Families.

Hao Chen, Kristin E. Lauter, Katherine E. Stange

Proceedings of the Selected Areas in Cryptography - SAC 2016, 2016

2015

Ring-LWE Cryptography for the Number Theorist.

Yara Elias, Kristin E. Lauter, Ekin Ozman, Katherine E. Stange

IACR Cryptol. ePrint Arch., 2015

Provably weak instances of Ring-LWE.

Yara Elias, Kristin E. Lauter, Ekin Ozman, Katherine E. Stange

IACR Cryptol. ePrint Arch., 2015

Attacks on Search RLWE.

Hao Chen, Kristin E. Lauter, Katherine E. Stange

IACR Cryptol. ePrint Arch., 2015

2012

How to Make the Most of a Shared Meal: Plan the Last Bite First.

Lionel Levine, Katherine E. Stange

Am. Math. Mon., 2012

2011

Amicable Pairs and Aliquot Cycles for Elliptic Curves.

Joseph H. Silverman, Katherine E. Stange

Exp. Math., 2011

A duality principle for selection games

Lionel Levine, Scott Sheffield, Katherine E. Stange

CoRR, 2011

Pairings on Hyperelliptic Curves.

Jennifer S. Balakrishnan, Juliana Belding, Sarah Chisholm, Kirsten Eisenträger, Katherine E. Stange, Edlyn Teske

Proceedings of the WIN - Women in Numbers - Research Directions in Number Theory., 2011

2009

Pairings on hyperelliptic curves

Jennifer S. Balakrishnan, Juliana Belding, Sarah Chisholm, Kirsten Eisenträger, Katherine E. Stange, Edlyn Teske

CoRR, 2009

2008

The Elliptic Curve Discrete Logarithm Problem and Equivalent Hard Problems for Elliptic Divisibility Sequences.

Kristin E. Lauter, Katherine E. Stange

IACR Cryptol. ePrint Arch., 2008

2006

The Tate Pairing via Elliptic Nets.

Katherine E. Stange

IACR Cryptol. ePrint Arch., 2006