Katherine E. Stange

IACR Cryptol. ePrint Arch., 2025

On the Complexity of Isomorphism Problems for Tensors, Groups, and Polynomials V: Over Commutative Rings.

[BibT_eX]

[DOI]

Proceedings of the 57th Annual ACM Symposium on Theory of Computing, 2025

2024

Extending class group action attacks via pairings.

[BibT_eX]

[DOI]

Joseph Macula

IACR Cryptol. ePrint Arch., 2024

Traceable random numbers from a nonlocal quantum advantage.

[BibT_eX]

[DOI]

CoRR, 2024

Extending Class Group Action Attacks via Sesquilinear Pairings.

[BibT_eX]

[DOI]

Joseph Macula

Proceedings of the Advances in Cryptology - ASIACRYPT 2024, 2024

2022

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

[BibT_eX]

[DOI]

IACR Cryptol. ePrint Arch., 2022

Failing to hash into supersingular isogeny graphs.

[BibT_eX]

[DOI]

IACR Cryptol. ePrint Arch., 2022

Orientations and cycles in supersingular isogeny graphs.

[BibT_eX]

[DOI]

IACR Cryptol. ePrint Arch., 2022

Orienteering with one endomorphism.

[BibT_eX]

[DOI]

IACR Cryptol. ePrint Arch., 2022

Algebraic Number Starscapes.

[BibT_eX]

[DOI]

Edmund Harriss

Steve Trettel

Exp. Math., 2022

2021

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

[BibT_eX]

[DOI]

SIAM J. Appl. Algebra Geom., 2021

Improved Torsion-Point Attacks on SIDH Variants.

[BibT_eX]

[DOI]

Proceedings of the Advances in Cryptology - CRYPTO 2021, 2021

2020

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

[BibT_eX]

[DOI]

IACR Cryptol. ePrint Arch., 2020

2017

Attacks on the Search RLWE Problem with Small Errors.

[BibT_eX]

[DOI]

SIAM J. Appl. Algebra Geom., 2017

2016

Vulnerable Galois RLWE Families and Improved Attacks.

[BibT_eX]

[DOI]

IACR Cryptol. ePrint Arch., 2016

Security Considerations for Galois Non-dual RLWE Families.

[BibT_eX]

[DOI]

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

2015

Ring-LWE Cryptography for the Number Theorist.

[BibT_eX]

[DOI]

IACR Cryptol. ePrint Arch., 2015

Attacks on Search RLWE.

[BibT_eX]

[DOI]

IACR Cryptol. ePrint Arch., 2015

Provably Weak Instances of Ring-LWE.

[BibT_eX]

[DOI]

Proceedings of the Advances in Cryptology - CRYPTO 2015, 2015

2012

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

[BibT_eX]

[DOI]

Lionel Levine

Am. Math. Mon., 2012

2011

Amicable Pairs and Aliquot Cycles for Elliptic Curves.

[BibT_eX]

[DOI]

Joseph H. Silverman

Exp. Math., 2011

A duality principle for selection games

[BibT_eX]

[DOI]

Lionel Levine

Scott Sheffield

CoRR, 2011

Pairings on Hyperelliptic Curves.

[BibT_eX]

Jennifer S. Balakrishnan

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

2009

Pairings on hyperelliptic curves

[BibT_eX]

[DOI]

Jennifer S. Balakrishnan

CoRR, 2009

2008

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

[BibT_eX]

[DOI]

Proceedings of the Selected Areas in Cryptography, 15th International Workshop, SAC 2008, 2008

2007

The Tate Pairing Via Elliptic Nets.

[BibT_eX]

[DOI]