Characteristic polynomials of the curve \(v^2=u^p-au-b\) over finite fields of characteristic \(p\)

DOI10.1016/J.FFA.2013.01.006zbMath1273.14064OpenAlexW94373100MaRDI QIDQ1946683

Shuhong Gao, Hui Xue, Lin You

Publication date: 15 April 2013

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2013.01.006

zbMATH Keywords

hyperelliptic curvecharacteristic polynomialstwisted curveextended quadratic characterJacobian group order

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Special algebraic curves and curves of low genus (14H45) Curves over finite and local fields (11G20) Finite ground fields in algebraic geometry (14G15)

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