XTR cryptosystem makes use of an irreducible polynomial F(c, x) = x3 - cx2 + cpx - 1 over a finite field IFp2. In this paper, we develop a new method to generate such an irreducible polynomial. Our method requires only computations of Jacobi symbols and thus improves those given [1], [2] and [3].
CITATION STYLE
Kim, J. M., Yie, I., Oh, S. I., Kim, H. D., & Ryu, J. (2001). Fast generation of cubic irreducible polynomials for XTR. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 2247, pp. 73–78). Springer Verlag. https://doi.org/10.1007/3-540-45311-3_7
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