Research

On Second-Order Derivatives of Boolean Functions and Cubic APN Permutations in Even Dimension

A. Musukwa, M. Sala, I. Villa, M. Zaninelli (2024)

Mediterrean Journal of Mathematics, 21, 116 link

Searchable Encryption with randomized ciphertext and randomized keyword search

M. Calderini, R. Longo, M. Sala, I. Villa (2024)

Journal of Mathematical Cryptology, 18(1),20230029 link ePrint

Extending two families of bivariate APN functions

M. Calderini, K. Li, I. Villa (2023)

Finite Fields and Their Applications, 88, 102190 link arXiv    

A survey on Functional Encryption

C. Mascia, M. Sala, I. Villa (2023)

Advances in Mathematics of Communications, 17(5), 1251-1289 link arXiv

Classifying planar monomials over fields of order a prime cubed

E. Bergman, R.S. Coulter, I. Villa (2022)

Finite Fields and Their Applications, 78, 101959 link 

On cryptographic properties of cubic and splitting Boolean functions

A. Musukwa, M. Sala, I. Villa, M. Zaninelli (2022)

Applicable Algebra in Engineering, Communication and Computing, 1-17 link 

Generalized isotopic shift construction for APN functions

L. Budaghyan, M. Calderini, C. Carlet, R.S. Coulter, I. Villa (2021)

Designs, Codes and Cryptography, 89(1), 19-32 link ePrint

Constructing APN functions through isotopic shifts

L. Budaghyan, M. Calderini, C. Carlet, R.S. Coulter, I. Villa (2020)

IEEE Transactions of Information Theory, 66(8), 5299-5309 link ePrint

On equivalences between known families of quadratic APN functions

L. Budaghyan, M. Calderini, I. Villa (2020)

Finite Fields and Their Applications, 66, 101704 link ePrint

On relations between CCZ- and EA-equivalences

L. Budaghyan, M. Calderini, I. Villa (2020)

Cryptography and Communications, 12(1), 85-100 link ePrint

On the boomerang uniformity of some permutation polynomials

M. Calderini, I. Villa (2020)

Cryptography and Communications, 12(6), 1161-1178 link ePrint

On APN functions L1(x^3)+L2(x^9) with linear L1 and L2

I. Villa (2019)

Cryptography and Communications, 11(1), 3-20 link arXiv

A note on APN permutations in even dimension

M. Calderini, M. Sala, I. Villa (2017)

Finite Fields and Their Applications, 46, 1-16 link arXiv