The 2-adic valuation of the cardinality of Jacobians of genus 2 curves over quadratic towers of finite fields
MetadataShow full item record
Given a genus 2 curve C defined over a finite field Fq of odd characteristic such that 2|#Jac(C)(Fq), we study the growth of the 2-adic valuation of the cardinality of the Jacobian over a tower of quadratic extensions of Fq. In the cases of simpler regularity, we determine the exponents of the 2-Sylow subgroup of Jac(C)(Fq2k).
Is part ofJournal of Algebra and Its Applications, 2019, vol. 18, núm. 7, p. 1950135
Showing items related by title, author, creator and subject.
Garra Oronich, Ricard; Miret, Josep M. (Josep Maria); Pujolàs Boix, Jordi (Institute of Electrical and Electronics Engineers (IEEE), 2016-06)We give a method to compute the halving of a divisor in the Jacobian variety of a genus 2 curve in characteristic 2. We present explicit halving formulae for each possible divisor class for some curves (those with h (x)= ...
Garra Oronich, Ricard; Leibenger, Dominik; Miret, Josep M. (Josep Maria); Sebé Feixas, Francesc (Springer Berlin Heidelberg, 2019)Smart meters inform the electricity suppliers about the consumption of their clients in short intervals. Fine-grained electricity consumption information is highly sensitive as it has been proven to permit to infer people's ...
Garra Oronich, Ricard; Martínez Rodríguez, Santi; Miret, Josep M. (Josep Maria); Sebé Feixas, Francesc (2018)Fine-grained electricity consumption information has been proven to allow to infer people’s habits from their consumption patterns. Hence, smart metering systems need a secure way to regularly transmit the electricity ...