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Date: 2010
Language: eng
Resource Type: conference paper
Identifier: http://hdl.handle.net/1959.14/148080
Description: This paper considers a generalized form for Hessian curves. The family of generalized Hessian curves covers more isomorphism classes of elliptic curves. Over a finite field $mathbb{F}_q$, it is shown ... More
Reviewed: Reviewed
Date: 2010
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/130338
Description: We give explicit formulas for the number of distinct elliptic curves over a finite field (up to isomorphism over the algebraic closure of the ground field) in several families of curves of cryptograph ... More
Reviewed: Reviewed
Date: 2009
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/129967
Description: Given an elliptic curve E over ℚ we estimate the number of primes p≤T for which the number of points on reduction of E modulo p has a large prime factor ℓ and also a small embedding degree with respec ... More
Reviewed: Reviewed
Date: 2008
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/46655
Description: A secret sharing scheme typically requires secure communications in each of two distribution phases: (1) a dealer distributes shares to participants (share distribution phase); and later (2) the parti ... More
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Reviewed: Reviewed
Date: 2008
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/42902
Description: We determine the affine equivalence classes of the eight variable degree three homogeneous bent functions using a new algorithm. Our algorithm applies to general bent functions and can systematically ... More
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Date: 2004
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/8419
Description: The XOR Lemma states that a mapping is regular or balanced if and only if all the linear combinations of the component functions of the mapping are balanced Boolean functions. The main contribution of ... More
Reviewed: Reviewed
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