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- W2068232711 abstract "Motivated by XTR cryptosystem which is based on an irreducible polynomial <TEX>$x^3-cx^2+c^px-1$</TEX> over <TEX>$F_{p^2}$</TEX>, we study polynomials of the form <TEX>$F(c,x)=x^3-cx^2+c^qx-1$</TEX> over <TEX>$F_{p^2}$</TEX> with <TEX>$q=p^m$</TEX>. In this paper, we establish a one to one correspondence between the set of such polynomials and a certain set of cubic polynomials over <TEX>$F_q$</TEX>. Our approach is rather theoretical and provides an efficient method to generate irreducible polynomials over <TEX>$F_{p^2}$</TEX>." @default.
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- W2068232711 date "2009-01-31" @default.
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- W2068232711 title "CERTAIN CUBIC POLYNOMIALS OVER FINITE FIELDS" @default.
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- W2068232711 doi "https://doi.org/10.4134/jkms.2009.46.1.001" @default.
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