In this paper we use the Hessian form of an elliptic curve and show that it offers some performance advantages over the standard representation. In particular when a processor allows the evaluation of a number of field multiplications in parallel (either via separate ALU's, a SIMD type operation or a pipelined multiplication unit) one can obtain a performance advantage of around forty percent.
|Translated title of the contribution||The Hessian form of an elliptic curve|
|Title of host publication||Cryptographic Hardware and Embedded Systems - CHES 2001|
|Editors||Koc , Naccache , Paar|
|Publisher||Springer Berlin Heidelberg|
|Pages||118 - 125|
|Number of pages||7|
|Publication status||Published - May 2001|