Fulltext

Compression for trace zero points on twisted Edwards curves

Bianco, Giulia ; Gorla, Elisa

In: Journal of Mathematical Cryptology, 2016, vol. 10, no. 1, p. 15-34

Add to personal list
    Title
    • Compression for trace zero points on twisted Edwards curves
    Author
    • Bianco, Giulia. Institut de Mathématiques, Université de Neuchâtel Rue Emile-Argand 11, CH-2000 Neuchâtel, Switzerland
    • Gorla, Elisa. Institut de Mathématiques, Université de Neuchâtel Rue Emile-Argand 11, CH-2000 Neuchâtel, Switzerland
    Document Type
    • Postprint
    Language
    • English
    Published in
    • Journal of Mathematical Cryptology, 2016, vol. 10, no. 1, p. 15-34. De Gruyter
    Other Version
    OAI-PMH Identifier
    • oai:doc.rero.ch:326078
    Summary
    We propose two optimal representations for the elements of trace zero subgroups of twisted Edwards curves. For both representations, we provide efficient compression and decompression algorithms. The efficiency of the algorithm is compared with the efficiency of similar algorithms on elliptic curves in Weierstrass form.