## Low Cost Security: Explicit Formulae for Genus 4 Hyperelliptic Curves (2003)

Citations: | 25 - 12 self |

### BibTeX

@MISC{Pelzl03lowcost,

author = {Jan Pelzl and Thomas Wollinger and Christof Paar},

title = {Low Cost Security: Explicit Formulae for Genus 4 Hyperelliptic Curves},

year = {2003}

}

### Years of Citing Articles

### OpenURL

### Abstract

It is widely believed that genus four hyperelliptic curve cryptosystems (HECC) are not attractive for practical applications because of their complexity compared to systems based on lower genera, especially elliptic curves. Our contribution shows that for low cost security applications genus-4 hyperelliptic curves (HEC) can outperform genus-2 HEC and that we can achieve a performance similar to genus-3 HEC. Furthermore our implementation results show that a genus-4 HECC is an alternative cryptosystem to systems based on elliptic curves. In the work at hand...