Geodesic
On polyquadratic extension of binary fields
Prikladnaya Diskretnaya Matematika. Supplement, no. 6 (2013), pp. 12-13.

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The paper is devoted to generation of irreducible polynomials of degree $2^n$ by using polyquadratic field extension of GF$(2)$. Full binary tree of these polynomials is constructed. Some properties of such extension are formulated.
Keywords: irreducible polynomial, the trace of polynomial.
Mots-clés : polyquadratic extension 
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Kr. L. Geut; S. S. Titov. On polyquadratic extension of binary fields. Prikladnaya Diskretnaya Matematika. Supplement, no. 6 (2013), pp. 12-13. http://geodesic.mathdoc.fr/item/PDMA_2013_6_a4/

[1] Informatsionnye tekhnologii i bezopasnost algoritmy razdeleniya sekreta, Predvaritelnyi gosudarstvennyi standart respubliki Belarus STB P 34.101.44., Gosstandart, Minsk, 2011

[2] Glusko Kr. L., Titov S. S., “Arifmeticheskii algoritm resheniya kvadratnykh uravnenii v konechnykh polyakh kharakteristiki dva”, Doklady TUSURa, 2012, no. 1(25), Ch. 2, 148–152

[3] Bolotov A. A., Gashkov S. B., Frolov A. B., Elementarnoe vvedenie v ellipticheskuyu kriptografiyu: algebraicheskie i algoritmicheskie osnovy, KomKniga, M., 2006

[4] Bolotov A. A., Gashkov S. B., Frolov A. B., Elementarnoe vvedenie v ellipticheskuyu kriptografiyu: Protokoly kriptografii na ellipticheskikh krivykh, KomKniga, M., 2006

[5] Lidl R., Niderraiter G., Konechnye polya, Mir, M., 1988 | Zbl

[6] Geut Kr. L., Titov S. S., “O svoistvakh polikvadratichnykh rasshirenii binarnykh polei”, Problemy teoreticheskoi i prikladnoi matematiki, Trudy 44-i Vseros. molodezhnoi konf., UrO RAN, Ekaterinburg, 2013, 17–19