Faulty isogenies: a new kind of leakage

Autor: Adj, Gora, Chi-Domínguez, Jesús-Javier, Mateu, Víctor, Rodríguez-Henríquez, Francisco

In SIDH and SIKE protocols, public keys are defined over quadratic extensions of prime fields. We present in this work a projective invariant property characterizing affine Montgomery curves defined over prime fields. We then force a secret 3-isogeny

Externí odkaz: http://arxiv.org/abs/2202.04896

Weakness of [formula omitted] and [formula omitted] for discrete logarithm cryptography

Autor: Adj, Gora, Menezes, Alfred, Oliveira, Thomaz, Rodríguez-Henríquez, Francisco

Publikováno v: In Finite Fields and Their Applications March 2015 32:148-170

Karatsuba-based square-root Vélu's formulas applied to two isogeny-based protocols.

Autor: Adj, Gora, Chi-Domínguez, Jesús-Javier, Rodríguez-Henríquez, Francisco

Publikováno v: Journal of Cryptographic Engineering; Apr2023, Vol. 13 Issue 1, p89-106, 18p

Smoothness Test for Polynomials Defined Over Small Characteristic Finite Fields.

Autor: Adj, Gora, Canales-Martínez, Isaac, Rivera-Zamarripa, Luis, Rodríguez-Henríquez, Francisco

Publikováno v: Mathematics in Computer Science; Sep2018, Vol. 12 Issue 3, p319-337, 19p

Computing Discrete Logarithms in and Using Magma.

Autor: Adj, Gora, Menezes, Alfred, Oliveira, Thomaz, Rodríguez-Henríquez, Francisco

Publikováno v: Arithmetic of Finite Fields 5th International Workshop, WAIFI 2014, Gebze, Turkey, September 27-28, 2014. Revised Selected Papers; 2015, p3-22, 20p