|
|
|
References
|
|
|
1. |
Atya M., Makdonald I., Vvedenie v kommutativnuyu algebru, Mir, Moskva, 1972 |
2. |
Burbaki N., Kommutativnaya algebra, Mir, Moskva, 1971 |
3. |
Van der Varden B. L., Algebra, Nauka, Moskva, 1979 |
4. |
Glukhov M. M., Elizarov V. P., Nechaev A. A., Algebra, Chast II, Moskva, 1991 |
5. |
Zarisskii O., Samyuel P., Kommutativnaya algebra, IL, Moskva, 1963 |
6. |
Kurakin V. L., “Predstavleniya nad koltsom $Z_{p^n}$ lineinoi rekurrentnoi
posledovatelnosti maksimalnogo perioda nad polem $GF(p)$”, Diskretnaya matematika, 4:4 (1992), 96–116 |
7. |
Kurakin V. L., “Polinomialnye preobrazovaniya lineinykh rekurrentnykh posledovatelnostei nad koltsom $Z_{p^2}$”, Diskretnaya matematika, 11:2 (1999), 40–65 |
8. |
Lidl R., Niderraiter G., Konechnye polya, t. 1, 2, Mir, Moskva, 1988 |
9. |
Nechaev A. A., “Lineinye rekurrentnye posledovatelnosti nad kommutativnymi koltsami”, Diskretnaya matematika, 3:4 (1991), 105–127 |
10. |
Sachkov V. N., Vvedenie v kombinatornye metody diskretnoi matematiki, Nauka, Moskva, 1982 |
11. |
Bernasconi J., Günter C. G., “Analysis of a nonlinear feedforward logic for binary sequence generators”, Lect. Notes Comput. Sci., 219, 1986, 161–166 |
12. |
Brynielsson L., “On the linear complexity of combined shift register sequences”, Lect. Notes Comput. Sci., 219, 1986, 156–160 |
13. |
Chan A. H., Goresky M., Klapper A., “On the linear complexity of feedback registers”, IEEE Trans. Inform. Theory, 36, no. 3, 1990, 640–644 |
14. |
GolićS. D., “On the linear complexity of functions of periodic $GF(q)$ sequences”, IEEE Trans. Inform. Theory, 35, no. 1, 1989, 69–75 |
15. |
Herlestam T., “On the complexity of functions of linear shift register sequences”, Int. Symp. Inform. Theory, Les Arc, France, 1982 |
16. |
Herlestam T., “On functions of linear shift register sequences”, Lect. Notes Comput. Sci., 219, 1986, 119–129 |
17. |
Key E. L., “An analysis of the structure and complexity of nonlinear binary sequence generators”, IEEE Trans. Inform. Theory, 22, no. 6, 1976, 732–736 |
18. |
Klapper A., “The vulnerability of geometric sequences based on fields of odd characteristic”, J. Cryptology, 7 (1994), 33–51 |
19. |
Kurakin V. L., Kuzmin A. S., Mikhalev A. V., Nechaev A. A., “Linear recurring sequences over rings and modules”, J. Math. Sci., 76: 6 (1995), 2793–2915 |
20. |
Lu P., Song G., “Feasible calculation of the generator for combined LFSR sequences”, Lect. Notes Comput. Sci., 508, 1991, 86–95 |
21. |
Lu P., Song G., Zhou J., “Tenzor product with application to linear recurring sequences”, J. Math. Res. Exposition, 12:4 (1992), 551–558 |
22. |
Rueppel R. A., Staffelbach O. J., “Products of linear recurring sequences with maximum complexity”, IEEE Trans. Inform. Theory, 33, no. 1, 1987, 126–131 |
23. |
Selmer E. S., Linear Recurrence Relations Over Finite Fields, Univ. Bergen, Bergen, 1966 |
24. |
Vajda I., Nemetz T., “Substitution of characters in $q$-ary $m$-sequences”, Lect. Notes Comput. Sci., 508, 1991, 96–105 |
25. |
Zierler N., Mills W. H., “Products of linear recurring sequences”, J. Algebra, 27:1 (1973), 147–157 |