Welcome to the resource topic for
**2007/040**

**Title:**

Efficient Quintuple Formulas for Elliptic Curves and Efficient Scalar Multiplication Using Multibase Number Representation

**Authors:**
Pradeep Kumar Mishra, Vassil Dimitrov

**Abstract:**

In the current work we propose two efficient formulas for computing the 5-fold (5P) of an elliptic curve point P. One formula is for curves over finite fields of even characteristic and the other is for curves over prime fields. Double base number systems (DBNS) have been gainfully exploited to compute scalar multiplication efficiently in ECC. Using the proposed point quintupling formulas one can use 2,5 and 3,5 (besides 3,5) as bases of the double base number system. In the current work we propose a scalar multiplication algorithm, which expands the scalar using three bases 2, 3 and 5 and computes the scalar multiplication very efficiently. The proposed scheme is faster than all sequential scalar multiplication algorithms reported in literature.

**ePrint:**
https://eprint.iacr.org/2007/040

See all topics related to this paper.

Feel free to post resources that are related to this paper below.

**Example resources include:**
implementations, explanation materials, talks, slides, links to previous discussions on other websites.

For more information, see the rules for Resource Topics .