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Journal of Geophysical Research: Solid Earth, Volume 129, Issue 10, October 2024.Abstract Direct geological information in Antarctica is limited to ice free regions along the coast, high mountain ranges, or isolated nunataks. Therefore, indirect methods are required to reveal subglacial geology and heterogeneities in crustal properties, which are critical steps toward interpreting geological history.
Maximilian Lowe +7 more
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UEG Week 2024 Poster Presentations
United European Gastroenterology Journal, Volume 12, Issue S8, Page 665-1360, October 2024.
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Elliptic Gau{\ss} sums and Schoof's algorithm
, 2016 We present a new approach to handling the case of Atkin primes in Schoof's algorithm for counting points on elliptic curves over finite fields. Our approach is based on the theory of polynomially cyclic algebras, which we recall as far as necessary. We then proceed to describe our method, which essentially relies on transferring costly computations in ...
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The order elliptic curves over finite fields of characteristic two using the Schoof algorithm
The order elliptic curves over finite fields of characteristic two using the Schoof algorithmThe elliptic curve cryptosystem is a popular cryptosystem. Its safety depends on the difficulty of the elliptic curve discrete logarithm problem (ECDLP). From the viewpoint of ECDLP, it is very interesting to determine the order of elliptic curves.
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Finding Good Random Elliptic Curves for Cryptosystems Defined over F2n
International Conference on the Theory and Application of Cryptographic Techniques, 1997 R. Lercier
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COMS2, 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
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Parameters for secure elliptic curve cryptosystem -improvements on Schoof s algorithm
International Conference on Theory and Practice of Public Key Cryptography, 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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Elliptic Curves: Number Theory and Cryptography
, 2003INTRODUCTION THE BASIC THEORY Weierstrass Equations The Group Law Projective Space and the Point at Infinity Proof of Associativity Other Equations for Elliptic Curves Other Coordinate Systems The j-Invariant Elliptic Curves in Characteristic 2 ...
L. Washington
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