Results 21 to 30 of about 15,705,034 (244)
First and second
Annales de l'Institut Fourier, 2018 In this paper, we show that the maximal divisible subgroup of groups K 1 and K 2
Satoshi Kondo, Seidai Yasuda
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Trace zero varieties in cryptography : optimal representation and index calculus [PDF]
, 2014 The trace zero variety associated to an elliptic or hyperelliptic curve is an abelian variety defined over a finite field F_q. Its F_q-rational points yield a finite group, the trace zero subgroup of the degree zero Picard group of the original curve ...
Massierer, Maike
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The Frobenius twists of elliptic curves over global function fields
, 2023 25 pages, 0 ...
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Elliptic Curves Over Finite Fields [PDF]
, 2010 This thesis provides a self-contained introduction to elliptic curves accessible to advanced undergraduates and graduate students in mathematics, with emphasis on the the theory of elliptic curves over finite fields.
Balagopalan, Sonia
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CONTROL THEOREMS FOR ELLIPTIC CURVES OVER FUNCTION FIELDS [PDF]
, 2006 Let F be a global field of characteristic p > 0, 𝔽/F a Galois extension with and E/F a non-isotrivial elliptic curve. We study the behavior of Selmer groups SelE(L)l (l any prime) as L varies through the subextensions of 𝔽 via appropriate versions of ...
A. Bandini, I. Longhi
semanticscholar +1 more source
Some Families of Elliptic Curves [PDF]
, 2023 Elliptic curves, intricate mathematical structures, form a nexus between number theory, alge- braic geometry, and cryptography. This paper offers a thorough exploration of these curves, delving into their foundational properties, historical origins, and ...
Shah, Sudev
core
Torsion points on elliptic curves over a global field
Manuscripta Mathematica, 1979 Let C be an elliptic curve defined over a global field K and denote by CK the group of rational points of C over K. The classical Nagell-Lutz-Cassels theorem states, in the case of an algebraic number field K as groud field, a necessary condition for a point in CK to be a torsion point, i.e. a point of finite order.
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Hardware Accelerators for Elliptic Curve Cryptography [PDF]
, 2008 Puttmann C, Shokrollahi J, Porrmann M, Rückert U. Hardware Accelerators for Elliptic Curve Cryptography. Advances in Radio Science. 2008;6:259-264.In this paper we explore different hardware accelerators for cryptography based on elliptic curves ...
U. Rückert +7 more
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Molecular characterization of covRS mutations in M1UK Streptococcus pyogenes
FEBS Open Bio, EarlyView.Group A Streptococcus (GAS) acquires covRS mutations driving a hypervirulent bacterial state, frequently associated with invasive disease‐like necrotizing fasciitis. We demonstrate that the newly emerged M1UK GAS lineage can also acquire these mutations.
Jarrad Pritchard +12 more
wiley +1 more source
Torsion of elliptic curves over cubic fields [PDF]
, 2012 Although it is not known which groups can appear as torsion groups of elliptic curves over cubic number fields, it is known which groups can appear for infinitely many non-isomorphic curves. We denote the set of these groups as S.
Najman, Filip, Filip Najman
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