Results 141 to 150 of about 859,926 (192)
Canadian Mathematical Bulletin, 1973 Let p be an odd prime, n an integer not divisible by p and α a positive integer. For any integer h with (h,pα)=l, is defined as any solution of the congruence (mod,pα). The Kloosterman sum Ap α(n) (see for example [4]) is defined by(1.1)where the dash (') indicates that the letter of summation runs only through a reduced residue system with respect to
Kenneth S. Williams
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A new Kloosterman sum identity over F2m for odd m
Discrete Mathematics, 2003 A new Kloosterman sum identity over F2m is derived and a class of rational function pairs that satisfy the identity is presented. It is also shown that the Kloosterman sum identity used in the derivation of 3-designs from the Goethals codes over Z4 is a ...
Dong-Joon Shin, Wonjin Sung
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Kloosterman sum identities over F2m
Discrete Mathematics, 2004 We introduce Kloosterman polynomials over F2m, and use these polynomials to prove three identities involving Kloosterman sums over ...
Henk D L Hollmann, Qing Xiang
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New Kloosterman sum identities and equalities over finite fields
Finite Fields and Their Applications, 2008 We present some general equalities between Kloosterman sums over finite fields of arbitrary characteristics.
Xiwang Cao +2 more
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On the general Kloosterman sum and its fourth power mean
Journal of Number Theory, 2004 The main purpose of this paper is to study the asymptotic property of the fourth power mean of the general Kloosterman sums, and give an interesting calculating ...
Zhang Wenpeng
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Designs, Codes, and Cryptography, 2011
Let \(p\) be a prime number, \(m\) a positive integer, \(\mathbb F_q\) the finite field of order \(q=p^m\) and \(\mathbb F^*= \mathbb F_q \setminus \{0 \}\). The Kloosterman sum on \(\mathbb F\) is the map \(K_q: \mathbb F_q \to \mathbb R \) defined by \[ K_q(a): = 1+ \sum_{x \in \mathbb F_{q}^{*}} e^{2\pi i \text{tr}(x^{-1}+ax)/p}, \] where \(\text{tr}
Petr Lisoněk +2 more
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Let \(p\) be a prime number, \(m\) a positive integer, \(\mathbb F_q\) the finite field of order \(q=p^m\) and \(\mathbb F^*= \mathbb F_q \setminus \{0 \}\). The Kloosterman sum on \(\mathbb F\) is the map \(K_q: \mathbb F_q \to \mathbb R \) defined by \[ K_q(a): = 1+ \sum_{x \in \mathbb F_{q}^{*}} e^{2\pi i \text{tr}(x^{-1}+ax)/p}, \] where \(\text{tr}
Petr Lisoněk +2 more
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Cryptography and Communications, 2019
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V A Zinoviev, Zinoviev V A
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V A Zinoviev, Zinoviev V A
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Short Kloosterman Sums with Primes
Mathematical Notes, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M A Korolev
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Eighth power moment of Kloosterman sum, supercharacters, and elliptic curves
Ramanujan Journal, 2021Gautam Kalita, Kalita Gautam
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