Geodesic
On the computation of the discrete Fourier transform in Galois fields
Sibirskij žurnal industrialʹnoj matematiki, Tome 5 (2002) no. 3, pp. 131-138.

Voir la notice de l'article provenant de la source Math-Net.Ru

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V. A. Lipnitskii; E. D. Stroinikova. On the computation of the discrete Fourier transform in Galois fields. Sibirskij žurnal industrialʹnoj matematiki, Tome 5 (2002) no. 3, pp. 131-138. http://geodesic.mathdoc.fr/item/SJIM_2002_5_3_a12/

[1] Losev V. V., Mikroprotsessornye ustroistva obrabotki informatsii. Algoritmy tsifrovoi obrabotki, Vyssh. shk., Minsk, 1990

[2] Nussbaumer G., Bystroe preobrazovanie Fure i algoritmy vychisleniya svertok, Radio i svyaz, M., 1985 | MR | Zbl

[3] Pollard J. M., “The fast Fourier transform in a finite field”, Math. Comp., 25:114 (1971), 365–374 | DOI | MR | Zbl

[4] Bleikhut R., Teoriya i praktika kodov, kontroliruyuschikh oshibki, Mir, M., 1986 | MR

[5] Zakharova T. G., “Vychislenie preobrazovaniya Fure v polyakh kharakteristiki 2”, Problemy peredachi informatsii, 28:2 (1992), 62–77 | MR | Zbl

[6] Vinogradov I. M., Osnovy teorii chisel, Nauka, M., 1981 | MR

[7] Mak-Vilyams F. Dzh., Sloen N. Dzh. A., Teoriya kodov, ispravlyayuschikh oshibki, Svyaz, M., 1979

[8] Sverdlik M. B., Optimalnye diskretnye signaly, Sov. radio, M., 1975

[9] Konopelko V. K., Lipnitskii V. A., “Faktorizatsiya proizvolnykh matrits metodom blochnogo razbieniya”, Dokl. 1 Mezhdunar. konf. po tsifrovoi obrabotke informatsii i upravleniyu v chrezvychainykh situatsiyakh, T. 1, Minsk, 1998, 118–123

[10] Veterli M., Duhamel P., “Split-radix algorithms for length-$p^m$ DFT's”, IEEE Trans., 37:1 (1989), 57–64 | DOI | MR

[11] Makklellan Dzh. G., Reider Ch. M., Primenenie teorii chisel v tsifrovoi obrabotke signalov, Radio i svyaz, M., 1983