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    TC
    2002
    164views Information Technology» more  TC 2002»
    Finite Field Multiplier Using Redundant Representation
    14 years 2 months ago
    Finite Field Multiplier Using Redundant Representation
    Download  www.math.clemson.edu
    This article presents simple and highly regular architectures for finite field multipliers using a redundant representation. The basic idea is to embed a finite field into a cyclo...
    Huapeng Wu, M. Anwarul Hasan, Ian F. Blake, Shuhon...
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    MOC
    2002
    121views more  MOC 2002»
    Computing discrete logarithms in high-genus hyperelliptic Jacobians in provably subexponential time
    14 years 2 months ago
    Computing discrete logarithms in high-genus hyperelliptic Jacobians in provably subexponential time
    Download  www.ams.org
    We provide a subexponential algorithm for solving the discrete logarithm problem in Jacobians of high-genus hyperelliptic curves over finite fields. Its expected running time for i...
    Andreas Enge
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    ECCC
    2000
    93views more  ECCC 2000»
    Security of the Most Significant Bits of the Shamir Message Passing Scheme
    14 years 2 months ago
    Security of the Most Significant Bits of the Shamir Message Passing Scheme
    Download  www.ams.org
    Boneh and Venkatesan have recently proposed a polynomial time algorithm for recovering a "hidden" element of a finite field Fp of p elements from rather short strings of...
    Maria Isabel Gonzalez Vasco, Igor Shparlinski
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    COMBINATORICS
    2004
    84views more  COMBINATORICS 2004»
    q-Exponential Families
    14 years 3 months ago
    q-Exponential Families
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    We develop an analog of the exponential families of Wilf in which the label sets are finite dimensional vector spaces over a finite field rather than finite sets of positive integ...
    Kent E. Morrison
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    AAECC
    2002
    Springer
    98views Algorithms» more  AAECC 2002»
    A Polynomial Representation of the Diffie-Hellman Mapping
    14 years 3 months ago
    A Polynomial Representation of the Diffie-Hellman Mapping
    Download  www.ricam.oeaw.ac.at
    Let Fq be the finite field of order q and be an element of Fq of order d. The construction of an explicit polynomial f (X) Fq[X] of degree d - 1 with the property f i = i2 for ...
    Wilfried Meidl, Arne Winterhof
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    TC
    2008
    138views Information Technology» more  TC 2008»
    High-Performance Architecture of Elliptic Curve Scalar Multiplication
    14 years 3 months ago
    High-Performance Architecture of Elliptic Curve Scalar Multiplication
    Download  www.cacr.math.uwaterloo.ca
    A high performance architecture of elliptic curve scalar multiplication over finite field GF(2m ) is proposed. A pseudo-pipelined word serial finite field multiplier with word siz...
    B. Ansari, M. A. Hasan
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    CORR
    2006
    Springer
    84views Education» more  CORR 2006»
    A simple generalization of El-Gamal cryptosystem to non-abelian groups
    14 years 3 months ago
    A simple generalization of El-Gamal cryptosystem to non-abelian groups
    Download  eprint.iacr.org
    In this paper we propose the group of unitriangular matrices over a finite field as a non-abelian group and composition of inner, diagonal and central automorphisms as a group of a...
    Ayan Mahalanobis
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    FOCM
    2008
    77views more  FOCM 2008»
    Modular Counting of Rational Points over Finite Fields
    14 years 3 months ago
    Modular Counting of Rational Points over Finite Fields
    Download  math.uci.edu
    Let Fq be the finite field of q elements, where q = ph. Let f(x) be a polynomial over Fq in n variables with m non-zero terms. Let N(f) denote the number of solutions of f(x) = 0 ...
    Daqing Wan
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    FFA
    2008
    53views more  FFA 2008»
    Bilinear character sums over elliptic curves
    14 years 3 months ago
    Bilinear character sums over elliptic curves
    Download  www.math.klte.hu
    Let k be a finite field with q elements. Let kn be the extension of k with degree n. Let Nn be the kernel of the norm map Nkn/k : k
    Igor Shparlinski
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    CORR
    2010
    Springer
    166views Education» more  CORR 2010»
    On Exponential Sums, Nowton identities and Dickson Polynomials over Finite Fields
    14 years 3 months ago
    On Exponential Sums, Nowton identities and Dickson Polynomials over Finite Fields
    Download  eprint.iacr.org
    Let Fq be a finite field, Fqs be an extension of Fq, let f(x) Fq[x]
    Xiwang Cao, Lei Hu
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