Professore Associato

Riccardo Aragona

0000-0001-8834-4358

Permutation groups, symmetric groups, primitive groups, symmetric cryptography, block ciphers, group generated by the round functions
04 Algebra, Geometria e Didattica della Matematica
MAT/02 - Algebra
Mathematics and Applications

Curriculum   Scholar MathSciNet Scopus

Publications

  1. R. Aragona, N. Gavioli, G. Nozzi, A classification of module braces over the ring of p-adic integers, preprint, 2024.
  2. R. Aragona, G. Nozzi, A classification of F_{p^k}-braces using bilinear forms, preprint, 2024.
  3. R. Aragona, R. Civino, L. Campioni, The number of maximal unrefinable partitions, preprint, 2023.
  4. R. Aragona, R. Civino, N. Gavioli, A definitely periodic chain in the integral Lie ring of partitions, Journal of Algebraic Combinatorics, 59(4), 939-954 (2024).
  5. R. Aragona, Coleman automorphisms of finite groups with semidihedral Sylow 2-subgroups, Acta Mathamatica Hungarica, 172(2), 413-421 (2024).
  6. R. Aragona, R. Civino, N. Gavioli, A modular idealizer chain and unrefinability of partitions with repeated parts, Israel Journal of Mathematics, 260(1), 441-461 (2024).
  7. R. Aragona, R. Civino, F. Dalla Volta, On the primitivity of the AES-128 key-schedule, Journal of Algebra and its Applications 22(11), 2350233 (2023), [18 pages].
  8. P. J. Aswin, K. Jain, R. Aragona, Performance Comparison of Hybrid Encryption Models, Proceedings of the 2023 2nd International Conference on Augmented Intelligence and Sustainable Systems, ICAISS 2023, 1196–1203 (2023).
  9. R. Aragona, R. Civino, L. Campioni, M. Lauria, Verification and generation of unrefinable partitions, Information Processing Letters, 181, 106361 (2023).
  10. R. Aragona, R. Civino, N. Gavioli, M. Pugliese, An Authenticated Key Scheme over Elliptic Curves for Topological Networks, Journal of Discrete Mathematical Sciences and Cryptography, 25(8), 2429-2448 (2022).
  11. R. Aragona, R. Civino, L. Campioni, M. Lauria, On the maximal part in unrefinable partitions of triangular numbers, Aequationes Mathematicae, 96, 1339-1363 (2022).
  12. R. Aragona, R. Civino, N. Gavioli, C. M. Scoppola, Unrefinable partitions into distinct parts in a normalizer chain, Discrete Mathematics Letters, 8, 72-77 (2022).
  13. R. Aragona, R. Civino, On invariant subspaces in the Lai-Massey scheme and a primitivity reduction,  Mediterranean Journal of Mathematics, 18(4), 165 (2021).
  14. R. Aragona, R. Civino, N. Gavioli, C. M. Scoppola, Rigid commutators and a normalizer chain, Monatshefte fur Mathematik, 196(3), 431-455 (2021).
  15. R. Aragona, R. Civino, N. Gavioli, C. M. Scoppola, A chain of normalizers in the sylow 2-subgroups of the symmetric group on 2^n letters, Indian Journal of Pure and Applied Mathematics, 52(3), 735-746 (2021)
  16. R. Aragona, A. D'Andrea, Normal form in Hecke-Kiselman monoids associated with simple oriented graphs, Algebra and Discrete Mathematics 30(2), 161-171 (2020).
  17. R. Aragona, M. Calderini, R. Civino, Some group-theoretical results on Feistel Networks in a long-key scenario, Advances in Mathematics of Communications 14(4), 727-743 (2020).
  18. R. Aragona, F. Marzi, F. Mignosi, M. Spezialetti, Entropy and Compression: A Simple Proof of an Inequality of Khinchin-Ornstein-Shields, Problems of Information Transmission, 56(1), 13-22 (2020).
  19. R. Aragona, R. Civino, N. Gavioli, C. M. Scoppola, Regular subgroups with large intersection, Annali di Matematica Pura ed Applicata 198(6), 2043-2057 (2019).
  20. R. Aragona, A. Meneghetti, Type-Preserving Matrices and Security of Block Ciphers, Advances in Mathematics of Communications 13(2), 235-251 (2019).
  21. R. Aragona, M. Calderini, R. Civino, M. Sala, I. Zappatore, Wave-Shaped Round Functions and Primitive Groups, Advances in Mathematics of Communications, 13(1), 67-88 (2019).
  22. R. Aragona, F. Giacon, M. Sala, A proof of security for a key-policy RS-ABE scheme, JP Journal of Algebra, Number Theory and Applications, 40(1), 29-90 (2018).
  23. R. Aragona, A. Rimoldi, M. Sala, A note on an infeasible linearization of some block ciphers, Journal of Discrete Mathematical Sciences and Cryptography 21(1), 209-218 (2018).
  24. R. Aragona, M. Calderini, A. Tortora, M. Tota, Primitivity of PRESENT and other lightweight ciphers, Journal of Algebra and Its Applications 17(6), 1850115 (2018), [16 pages].
  25. R. Aragona, R. Longo, M. Sala, Several Proofs of Security for a Tokenization Algorithm, Applicable Algebra in Engineering, Communication and Computing 28(5), 425-436 (2017).
  26. R. Aragona, A. Caranti, M. Sala, The group generated by the round functions of a GOST-like cipher, Annali di Matematica Pura ed Applicata 196(1), 1-17 (2017).
  27. M. Calderini, D. Maccauro, R. Aragona, M. Sala, On weak differential uniformity of vectorial Boolean functions as a cryptographic criterion, Applicable Algebra in Engineering, Communication and Computing 27(5), 359-372 (2016).
  28. R. Aragona, F. Gozzini, M. Sala, A real life project in Cryptography: assessment of RSA keys, in Springer LNEE, Vol. 358, 197-203, (2015).
  29. F. Alda, R. Aragona, L. Nicolodi, M. Sala, Implementation and improvement of the Partial Sum Attack on 6-round AES, in Springer LNEE, Vol. 358, pp. 181-195, (2015).
  30. F. Marinelli, R. Aragona, C. Marcolla , M. Sala, Some security bounds for the key sizes of DGHV scheme, Applicable Algebra in Engineering, Communication and Computing 25(5), pp. 383-392 (2014).
  31. R. Aragona, A. Caranti, F. Dalla Volta, M. Sala, On the group generated by the round functions of translation based ciphers over arbitrary finite fields, Finite Fields and Their Applications 25, 293-305 (2014).
  32. R. Aragona, A. D'Andrea, Hecke-Kiselman Monoids of Small Cardinality, Semigroup Forum 86(1), 32-40 (2013).
  33. R. Aragona, Semi-invariants of Symmetric Quivers of Finite Type, Algebras and Representation Theory 16(4), 1051-1083 (2013).
  34. R. Aragona, Semi-invariants of Symmetric Quivers of Tame Type, Algebras and Representation Theory 15(6), 1215-1260 (2012).
  35. R. Aragona, Semi-invarianti di quiver simmetrici, nota relativa all'argomento della tesi di dottorato, Bollettino dell'Unione Matematica Italiana. Sez. A: La Matematica nella Societa e nella Cultura, Serie I Vol. III N. 1 (Aprile 2010), pp. 11-14.

 

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