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Binary Kloosterman Sums Modulo 256 and Coefficients of the Characteristic Polynomial

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4 Author(s)
Gologlu, F. ; Sch. of Math. Sci., Univ. Coll. Dublin, Dublin, Ireland ; Lisonek, P. ; McGuire, G. ; Moloney, R.

Kloosterman sums are exponential sums on finite fields that have important applications in cryptography and coding theory. We use Stickelberger's theorem and the Gross-Koblitz formula to determine the value of the binary Kloosterman sum at a modulo 64, modulo 128, and modulo 256 in terms of coefficients of the characteristic polynomial of a.

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Information Theory, IEEE Transactions on  (Volume:58 ,  Issue: 4 )