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Finite Fields

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Stream Ciphers
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Abstract

A short collection of properties of finite field designed as reminder of the algebra course.

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References

  1. Blake, I.F., Gao, S., Lambert, R.: Constructive problems for irreducible polynomials over finite fields. In: Information Theory and Applications, Rockland, ON, 1993. Lecture Notes in Comput. Sci., vol. 793, pp. 1–23. Springer, Berlin (1994)

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  2. Blake, I.F., Gao, S., Lambert, R.J.: Construction and distribution problems for irreducible trinomials over finite fields. In: Applications of Finite Fields, Egham, 1994. Inst. Math. Appl. Conf. Ser. New Ser., vol. 59, pp. 19–32. Oxford Univ. Press, New York (1996)

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  3. Cheng, Q.: On the construction of finite field elements of large order. Finite Fields Appl. 11, 358–366 (2005)

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  4. Jungnickel, D.: Finite Fields: Structure and Arithmetics. BI Wissenschaftsverlag, Mannheim (1993)

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  5. Swan, R.C.: Factorisation of polynomials over finite fields. Pac. J. Math. 12, 1099–1106 (1962)

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Klein, A. (2013). Finite Fields. In: Stream Ciphers. Springer, London. https://doi.org/10.1007/978-1-4471-5079-4_14

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