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At ASIACRYPT 2018, Castryck, Lange, Martindale, Panny and Renes proposed CSIDH, which is a key-exchange protocol based on isogenies between elliptic curves, and a candidate for post-quantum cryptograp...
A paper by Karati and Sarkar at Asiacrypt'17 has pointed out the potential for Kummer lines in genus one, by observing that its SIMD-friendly arithmetic is competitive with the status quo. A more rece...
This paper presents the basic concepts of the Edwards curves, twisted Edwards curves and the point addition laws on these curves. The main result is the parameterization of the Edward curve with the g...
There is a recent trend in cryptography to construct protocols based on the hardness of computing isogenies between supersingular elliptic curves. Two prominent examples are Jao-De Feo's key exchange ...
The Ihara limit (or constant) A(q) has been a central problem of study in the asymptotic theory of global function fields (or equivalently, algebraic curves over finite fields). It addresses global ...
Recent results of Cascudo, Cramer, and Xing on the construction of arithmetic secret sharing schemes are improved by using some new bounds on the torsion limits of algebraic function fields. Further...
A three-year-old male British shorthair cat that had exhibited progressive lethargy and intermittent dyspnoea for 14 days was referred for evaluation of acute respiratory deterioration. Clinical fin...
We show that the zero locus of a normal function on a smooth complex algebraic variety S is algebraic provided that the normal function extends to a admissible normal function on a smooth compacti...
This report describes a case of hind limb lameness associated with intra-abdominal torsion of a neoplastic testicle in a dog. An 11-year-old, male, bilaterally cryptorchid dog was referred for third d...
Given an elliptic curve E over a number field k, the Galois action on the torsion points of E induces a Galois representation, ρE : Gal(k/k) → GL2(Z b). For a fixed number field k, we describe the ima...
To each Drinfeld module of generic characteristic defined over a finitely generated field, one can associate a Galois representation arising from the Galois action on its torsion points. Recent work o...
Let A be a non-zero abelian variety defined over a number field K and let K be a fixed algebraic closure of K. For each element σ of the absolute Galois group Gal(K/K), let K(σ) be the fixed field in ...
An eleven-year-old, 3-kg, intact female Maltese was presented for depression, anorexia and dyspnoea. Thoracic radiographs showed right-side pleural effusion, a vesicular emphysema pattern and consolid...
Lung lobe torsion (LLT) is an uncommon pathology in small animal practice. In large breed dogs LLT effects are localized mainly to the middle lobe of the right lung. This report describes a case of le...
A 3-year-old Andalusian stallion was referred to the Veterinary Teaching Hospital of the University of Cordoba due to acute onset of colic pain. At admission, the horse presented a pronounced distensi...

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