Results 91 to 100 of about 216 (184)

On quadratic twists of hyperelliptic curves

open access: yesRocky Mountain Journal of Mathematics, 2014
Let C be a hyperelliptic curve of good reduction defined over a discrete valuation field K with algebraically closed residue field k. Assume moreover that char k \ne 2. Given d \in K^*\K^*2, we introduce an explicit description of the minimal regular model of the quadratic twist of C by d.
openaire   +4 more sources

Efficient arithmetic on subfield elliptic curves over small finite fields of odd characteristic

open access: yesJournal of Mathematical Cryptology, 2010
In elliptic curve cryptosystems, scalar multiplications performed on the curves have much effect on the efficiency of the schemes, and many efficient methods have been proposed. In particular, recoding methods of the scalars play an important role in the
Hakuta Keisuke   +2 more
doaj   +1 more source

An Efficient Authentication and Access Control Protocol for Securing UAV Networks Against Anomaly-Based Intrusion

open access: yesIEEE Access
UAV networks have gained widespread recognition across multiple industries due to their remarkable adaptability, prompting a fundamental transformation in operational procedures. However, utilizing the open wireless communication channel has consistently
Khaista Rahman   +5 more
doaj   +1 more source

Faithful Tropicalization of Hyperelliptic Curves

open access: yes
We provide explicit faithful re-embeddings for all hyperelliptic curves of genus at most three and an algorithmic way to construct them. Both in the faithful tropicalization algorithm and the proofs of correctness, we showcase OSCAR-methods for commutative algebra, polyhedral and tropical geometry.
Markwig, Hannah   +2 more
openaire   +2 more sources

Vanishing thetanull and hyperelliptic curves

open access: yesMathematische Nachrichten, 2007
AbstractLet ℳ︁g,2 be the moduli space of curves of genus g with a level‐2 structure. We prove here that there is always a non hyperelliptic element in the intersection of four thetanull divisors in ℳ︁6,2. We prove also that for all g ≥ 3, each component of the hyperelliptic locus in ℳ︁g,2 is a connected component of the intersection of g – 2 thetanull ...
openaire   +2 more sources

N = 1 super topological recursion. [PDF]

open access: yesLett Math Phys, 2021
Bouchard V, Osuga K, Osuga K.
europepmc   +1 more source

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