|
|
|
|
References
|
|
| |
| 1. |
Glukhov M.M., Elizarov V.P., Nechaev A.A., Algebra, Lan, M., 2015, 606 pp. |
| 2. |
Hegedus P., “Regular subgroups of the affine group”, J. Algebra, 225:2 (2000), 740–742 |
| 3. |
Caranti A., Francesca D., Sala M., “Abelian regular subgroups of the affine group and radical rings”, Publ. Math. (Debr.), 69:3 (2006), 297–308 |
| 4. |
Catino F., Colazzo P., “On regular subgroups of the affine group”, Bull. Aust. Math. Soc., 91:1 (2015), 76–85 |
| 5. |
Pellegrini M., Tamburini M., “More on regular subgroups of the affine group”, Linear Algebra Appl., 505 (2016), 126–151 |
| 6. |
Pellegrini M., Tamburini M., “Regular subgroups of the affine group with no translations”, J. Algebra, 478 (2017), 410–418 |
| 7. |
Calderini M., Sala M., “On differential uniformity of maps that may hide an algebraic trapdoor”, Int. Conf. Algebraic Informatics, Lect. Notes Comput. Sci., 9270, Springer, 2015, 70–78 |
| 8. |
Brunetta C., Calderini M., Sala M., “On hidden sums compatible with a given block cipher diffusion layer”, Discr. Math., 342:2 (2019), 373–386 |
| 9. |
Civino R., Blondeau C., Sala M., “Differential attacks: using alternative operations”, Des. Codes and Cryptogr., 87:2-3 (2019), 225–247 |
| 10. |
Schafer R.D., “Alternative algebras over an arbitrary field”, Bull. Amer. Math Soc., 49 (1943), 549–555 |
| 11. |
Dixon J., “Maximal Abelian subgroups of the symmetric groups”, Can. J. Math., 23:3 (1971), 426–438 |
| 12. |
Calderini M., Civino R., Sala M., “On properties of translation groups in the affine general linear group with applications to cryptography”, J. Algebra, 569 (2021), 658–680 |
| 13. |
Goltvanitsa M.A., “Elementarnye regulyarnye abelevy podgruppy affinnoi gruppy vektornogo prostranstva v svyazi s analizom kriptograficheskikh primitivov”, Matematicheskie voprosy kriptografii, 14:4 (2023), 25–53 |
| 14. |
Kargapolov M.I., Merzlyakov Yu.I., Osnovy teorii grupp, Lan, M., 2009, 288 pp. |
| 15. |
Isaacs M., Finite group theory, Amer. Math. Soc., 2008, 350 pp. |
| 16. |
Daemen J., Rijmen V., The Design of Rijndael: AES-the Advanced Encryption Standard, Springer Science & Business Media, 2013 |
| 17. |
Kash F., Moduli i koltsa, Mir, M., 1981, 368 pp. |
| 18. |
Aragona R., Calderini M., Sala M., The role of Boolean functions in hiding sums as trapdoors for some block ciphers |
| 19. |
Biryukov A., Cannier C. De, Braeken A., Preneel B., “A toolbox for cryptanalysis: linear and affine equivalence algorithms”, EUROCRYPT 2003, Lect. Notes Comput. Sci., 2656, 33–50 |
| 20. |
Kormen T., Laizerson Ch., Rivest R., Shtain K., Algoritmy: postroenie i analiz, Dialektika-Vilyams, M., 2020, 1328 pp. |
| 21. |
Calderini M., On Boolean functions, symmetric cryptography and algebraic coding theory, Ph.D, University of Trento, 2015 |