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Point Counting on Elliptic and Hyperelliptic Curves
In present work we study the algorithms for point counting on elliptic and hy- perelliptic curves. At the beginning we describe a few simple and ineffective al- gorithms.
Vácha, Petr
core +1 more source
Large-Scale Integer And Polynomial Computations : Efficient Implementation And Applications [PDF]
Amberker, B B
core
Symbolic method in the Schoof's algorithm
Głównym tematem pracy jest przedstawienie algorytmu Schoofa w kontekście szczególnych przypadków krzywej eliptycznej nad ciałem skończonym. Praca została podzielona na trzy rozdziały.
Asienkiewicz, Hubert
core
Dynamic projective coordinate system for elliptic curve crytography [PDF]
Al-Gahtani, Theeb Ayedh
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New applications of elliptic curves and function fields in cryptography [PDF]
Zuccherato, Robert
core
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2021
Security and efficiency for resource constrained devices using lightweight cryptography techniques is still a problem. It is important to make these devices secure from the intruders and communicate with them securely. Elliptic Curve Cryptography (ECC) comes out to be a major contender to solve this problem as it provides the security using smaller key
Ansh Tyagi+2 more
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Security and efficiency for resource constrained devices using lightweight cryptography techniques is still a problem. It is important to make these devices secure from the intruders and communicate with them securely. Elliptic Curve Cryptography (ECC) comes out to be a major contender to solve this problem as it provides the security using smaller key
Ansh Tyagi+2 more
openaire +2 more sources
Parameters for secure elliptic curve cryptosystem -improvements on Schoof s algorithm
1998The security of elliptic curve cryptosystem depends on the choice of an elliptic curve on which cryptographic operations are performed. Schoof's algorithm is used to define a secure elliptic curve, as it can compute the number of rational points on a randomly selected elliptic curve defined over a finite field.
Jun Kogure+3 more
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