scientific article; zbMATH DE number 2042679
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Publication:4450525
zbMath1041.94010MaRDI QIDQ4450525
Publication date: 15 February 2004
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Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Number-theoretic algorithms; complexity (11Y16) Applications to coding theory and cryptography of arithmetic geometry (14G50)
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A Note on Diem’s Proof ⋮ The point decomposition problem over hyperelliptic curves, Toward efficient computation of discrete logarithms in even characteristic ⋮ Index calculus in the trace zero variety ⋮ Cover attacks for elliptic curves over cubic extension fields ⋮ Recent progress on the elliptic curve discrete logarithm problem ⋮ On implementation of GHS attack against elliptic curve cryptosystems over cubic extension fields of odd characteristic ⋮ A new method for decomposition in the Jacobian of small genus hyperelliptic curves ⋮ An optimal representation for the trace zero subgroup ⋮ Algebraic curves and cryptography ⋮ A generic approach to searching for Jacobians ⋮ Cover attacks for elliptic curves with cofactor two ⋮ Index calculus for abelian varieties of small dimension and the elliptic curve discrete logarithm problem ⋮ Weil descent of Jacobians. ⋮ Point compression for the trace zero subgroup over a small degree extension field
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