CRYPTOGRAPHIC ASPECTS OF REAL HYPERELLIPTIC CURVES
Jacobson, Jr., Michael J. ; Scheidler, Renate ; Stein, Andreas
Tatra Mountains Mathematical Publications, Tome 49 (2011), / Harvested from Mathematical Institute
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In this paper, we give an overview of cryptographic applicationsusing real hyperelliptic curves. We review previously proposed cryptographic protocols, and discuss the infrastructure of a real hyperelliptic curve, the mathematical structure underlying all these protocols. We then describe recent improvements to infrastructure arithmetic, including explicit formulas for divisor arithmetic in genus 2; and advances in solving the infrastructure discrete logarithm problem, whose presumed intractability is the basis of security for the related cryptographic protocols.

Publié le : 2011-01-01
DOI : https://doi.org/10.2478/tatra.v47i0.50 
@article{50,
     title = {CRYPTOGRAPHIC ASPECTS OF REAL HYPERELLIPTIC CURVES},
     journal = {Tatra Mountains Mathematical Publications},
     volume = {49},
     year = {2011},
     doi = {10.2478/tatra.v47i0.50},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/50}
}

Jacobson, Jr., Michael J.; Scheidler, Renate; Stein, Andreas. CRYPTOGRAPHIC ASPECTS OF REAL HYPERELLIPTIC CURVES. Tatra Mountains Mathematical Publications, Tome 49 (2011) . doi : 10.2478/tatra.v47i0.50. http://gdmltest.u-ga.fr/item/50/