Title :
On the vector decomposition problem for m-torsion points on an elliptic curve
Author :
Kiyavash, Negar ; Duursma, Iwan
Author_Institution :
Coordinated Sci. Lab., Urbana, IL, USA
fDate :
27 June-2 July 2004
Abstract :
The paper presents the vector decomposition problem (VDP) for m-torsion points on an elliptic curve. We prove that any elliptic curve for which the sufficient conditions hold is bound to be supersingular.
Keywords :
cryptography; linear algebra; VDP; cryptography; elliptic curve; m-torsion point; vector decomposition problem; Elliptic curves; Jacobian matrices; Polynomials; Sufficient conditions; Vectors;
Conference_Titel :
Information Theory, 2004. ISIT 2004. Proceedings. International Symposium on
Print_ISBN :
0-7803-8280-3
DOI :
10.1109/ISIT.2004.1365582
