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    TC
    2002
    164views Information Technology» more  TC 2002»
    Finite Field Multiplier Using Redundant Representation
    14 years 2 days 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 3 days ago
    Computing discrete logarithms in high-genus hyperelliptic Jacobians in provably subexponential time
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    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 8 days 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 9 days 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 9 days 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 11 days 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 14 days 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 15 days 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 15 days 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 16 days 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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