Paul E. Gunnells

According to our database, Paul E. Gunnells authored at least 24 papers between 2000 and 2025.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of four.

2025

On the Cohomology of GL ₂ and SL ₂ over Imaginary Quadratic Fields.

Herbert Gangl, Paul E. Gunnells, Jonathan Hanke, Dan Yasaki

Exp. Math., July, 2025

2021

WalnutDSA™: a group theoretic digital signature algorithm.

Iris Anshel, Derek Atkins, Dorian Goldfeld, Paul E. Gunnells

Int. J. Comput. Math. Comput. Syst. Theory, 2021

On the Cohomology of Congruence Subgroups of GL₃ over the Eisenstein Integers.

Paul E. Gunnells, Mark McConnell, Dan Yasaki

Exp. Math., 2021

Weighted Lattice Point Sums in Lattice Polytopes, Unifying Dehn-Sommerville and Ehrhart-Macdonald.

Matthias Beck, Paul E. Gunnells, Evgeny Materov

Discret. Comput. Geom., 2021

Generalized Catalan Numbers from Hypergraphs.

Paul E. Gunnells

Electron. J. Comb., 2021

Ironwood meta key agreement and authentication protocol.

Iris Anshel, Derek Atkins, Dorian Goldfeld, Paul E. Gunnells

Adv. Math. Commun., 2021

2019

Tiered trees, weights, and <i>q</i>-Eulerian numbers.

William Dugan, Sam Glennon, Paul E. Gunnells, Einar Steingrímsson

J. Comb. Theory A, 2019

Defeating the Hart et al, Beullens-Blackburn, Kotov-Menshov-Ushakov, and Merz-Petit Attacks on WalnutDSA(TM).

Iris Anshel, Derek Atkins, Dorian Goldfeld, Paul E. Gunnells

IACR Cryptol. ePrint Arch., 2019

2017

Kayawood, a Key Agreement Protocol.

Iris Anshel, Derek Atkins, Dorian Goldfeld, Paul E. Gunnells

IACR Cryptol. ePrint Arch., 2017

WalnutDSA(TM): A Quantum Resistant Group Theoretic Digital Signature Algorithm.

Iris Anshel, Derek Atkins, Dorian Goldfeld, Paul E. Gunnells

IACR Cryptol. ePrint Arch., 2017

2016

Hickory Hash(TM): Implementing an Instance of an Algebraic Eraser(TM) Hash Function on an MSP430 Microcontroller.

Iris Anshel, Derek Atkins, Dorian Goldfeld, Paul E. Gunnells

IACR Cryptol. ePrint Arch., 2016

Defeating the Ben-Zvi, Blackburn, and Tsaban Attack on the Algebraic Eraser.

Iris Anshel, Derek Atkins, Dorian Goldfeld, Paul E. Gunnells

IACR Cryptol. ePrint Arch., 2016

A class of hash functions based on the algebraic eraser™.

Iris Anshel, Derek Atkins, Dorian Goldfeld, Paul E. Gunnells

Groups Complex. Cryptol., 2016

2015

A Table of Elliptic Curves over the Cubic Field of Discriminant-23.

Steve Donnelly, Paul E. Gunnells, Ariah Klages-Mundt, Dan Yasaki

Exp. Math., 2015

2014

Kazhdan-Lusztig cells in planar hyperbolic Coxeter groups and automata.

Mikhail V. Belolipetsky, Paul E. Gunnells, Richard A. Scott

Int. J. Algebra Comput., 2014

2013

Modular Forms and Elliptic Curves over the Field of Fifth Roots of Unity.

Paul E. Gunnells, Farshid Hajir, Dan Yasaki

Exp. Math., 2013

2012

Defeating the Kalka--Teicher--Tsaban linear algebra attack on the Algebraic Eraser

Dorian Goldfeld, Paul E. Gunnells

CoRR, 2012

2011

On the cryptanalysis of the generalized simultaneous conjugacy search problem and the security of the Algebraic Eraser

Paul E. Gunnells

CoRR, 2011

2010

Cohomology of congruence subgroups of SL₄(ℤ). III.

Avner Ash, Paul E. Gunnells, Mark McConnell

Math. Comput., 2010

2008

Hecke Operators and Hilbert Modular Forms.

Paul E. Gunnells, Dan Yasaki

Proceedings of the Algorithmic Number Theory, 8th International Symposium, 2008

2007

On Certain Integral Schreier Graphs of the Symmetric Group.

Paul E. Gunnells, Richard A. Scott, Byron L. Walden

Electron. J. Comb., 2007

2000

Computing Heeke Eigenvalues Below the Cohomologieal Dimension.

Paul E. Gunnells

Exp. Math., 2000

Modular Symbols and Hecke Operators.

Paul E. Gunnells

Proceedings of the Algorithmic Number Theory, 4th International Symposium, 2000

Computing Special Values of Partial Zeta Functions.

Gautam Chinta, Paul E. Gunnells, Robert Sczech

Proceedings of the Algorithmic Number Theory, 4th International Symposium, 2000