Ramanujan graphs in cryptography

[1]  Naser T Sardari Diameter of Ramanujan Graphs and Random Cayley Graphs , 2019, Comb..

[2]  Frances Fournier Discrete Groups, Expanding Graphs and Invariant Measures , 2019 .

[3]  Alfred Menezes,et al.  On Isogeny Graphs of Supersingular Elliptic Curves over Finite Fields , 2018, IACR Cryptol. ePrint Arch..

[4]  Daniel Shumow,et al.  Analogues of Vélu's formulas for isogenies on alternate models of elliptic curves , 2015, Math. Comput..

[5]  Y. Peres,et al.  Cutoff on all Ramanujan graphs , 2015, 1507.04725.

[6]  David Jao,et al.  Towards quantum-resistant cryptosystems from supersingular elliptic curve isogenies , 2011, J. Math. Cryptol..

[7]  Jean-Jacques Quisquater,et al.  Full Cryptanalysis of LPS and Morgenstern Hash Functions , 2008, SCN.

[8]  Gilles Zémor,et al.  Collisions for the LPS Expander Graph Hash Function , 2008, EUROCRYPT.

[9]  Kristin E. Lauter,et al.  Cryptographic Hash Functions from Expander Graphs , 2008, Journal of Cryptology.

[10]  Denis X. Charles,et al.  Families of Ramanujan Graphs and Quaternion Algebras , 2007 .

[11]  David Jao,et al.  Do All Elliptic Curves of the Same Order Have the Same Difficulty of Discrete Log? , 2004, ASIACRYPT.

[12]  Alexander Lubotzky,et al.  Discrete groups, expanding graphs and invariant measures , 1994, Progress in mathematics.

[13]  A. Lubotzky,et al.  Ramanujan graphs , 2017, Comb..

[14]  N. Alon Eigenvalues and expanders , 1986, Comb..

[15]  Joseph H. Silverman,et al.  The arithmetic of elliptic curves , 1986, Graduate texts in mathematics.

[16]  A. Pizer,et al.  An algorithm for computing modular forms on Γ0(N) , 1980 .

[17]  M. Vignéras Arithmétique des Algèbres de Quaternions , 1980 .

[18]  The representability of modular forms by theta series , 1976 .

[19]  Stephen S. Gelbart,et al.  Automorphic Forms on Adele Groups. (AM-83) , 1975 .

[20]  Stephen S. Gelbart,et al.  Automorphic forms on Adele groups , 1975 .

[21]  M. Murty Ramanujan Graphs , 1965 .

[22]  Claude Tricot,et al.  La méthode des graphes , 1965 .