Euclidean weights of codes from elliptic curves over rings

DOI10.1090/S0002-9947-00-02637-4zbMath0963.94047MaRDI QIDQ4505912

Judy L. Walker, José Felipe Voloch

Publication date: 3 October 2000

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

elliptic curvesestimatesalgebraic geometry codescodes over ringsfinite local ringsexponential sums along curvessequences with good correlation properties

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Exponential sums (11T23) Elliptic curves over local fields (11G07)

Related Items (11)

Minimal degree liftings in characteristic 2 ⋮ Homogeneous weights and exponential sums. ⋮ Exponential sums over lifts of points. ⋮ Recovering affine curves over finite fields from \(L\)-functions ⋮ Degrees of the elliptic Teichmüller lift ⋮ Computations with Witt vectors of length 3 ⋮ The discriminant in universal formulas for the canonical lifting ⋮ \(L\)-functions of exponential sums on curves over rings ⋮ Weierstrass coefficients of the canonical lifting ⋮ Character sums over \(p\)-adic fields ⋮ Exponential sums along \(p\)-adic curves.

Cites Work

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• The Nordstrom-Robinson code is algebraic-geometric
• An upper bound for Weil exponential sums over Galois rings and applications
• Formal moduli for one-parameter formal Lie groups

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