CONSTRUCTING ELLIPTIC CURVES WITH PRESCRIBED TORSION USING HALVING

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DAGHIGH HASSAN; Seifi Shahpar Fatemeh; Khodakaramian Ruhollah

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Seminar Paper

Paper Information

Seminar: CONFERENCE ON COMPUTATIONAL GROUP THEORY, COMPUTATIONAL NUMBER THEORY AND APPLICATIONS
Year:2014 | Issue:1

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Title

CONSTRUCTING ELLIPTIC CURVES WITH PRESCRIBED TORSION USING HALVING

Author(s)

DAGHIGH HASSAN | Seifi Shahpar Fatemeh | Khodakaramian Ruhollah | Issue Writer Certificate

Keywords

MODULAR CURVE

ELLIPTIC CURVE

TORSION POINT

HALVING

Abstract

IN THIS PAPER WE GENERALIZE THE ALGORITHM OF CONSTRUCTING ELLIPTIC CURVE WITH A PRESCRIBED N-TORSION POINT TO THE EFFICIENTLY GENERATING AN ELLIPTIC CURVE WITH A POINT OF ORDER 2SN, WITH THE METHOD OF SUCCESSIVE HALVING. IN THIS METHOD WE SEARCH AMONG THE CURVES GENERATED WITH THE MODULAR CURVESY1 (2IN) FOR I=1,…, S-1; TO FIND THE EQUATION OF A CURVE WITH A POINT OF ORDER 2SN- WHICH IS CRYPTOGRAPHICALLY MORE EFFICIENT THAN USING Y1 (2SN).

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APA: Copy

DAGHIGH, HASSAN, Seifi Shahpar, Fatemeh, & Khodakaramian, Ruhollah. (2014). CONSTRUCTING ELLIPTIC CURVES WITH PRESCRIBED TORSION USING HALVING. CONFERENCE ON COMPUTATIONAL GROUP THEORY, COMPUTATIONAL NUMBER THEORY AND APPLICATIONS. SID. https://sid.ir/paper/930304/en

Vancouver: Copy

DAGHIGH HASSAN, Seifi Shahpar Fatemeh, Khodakaramian Ruhollah. CONSTRUCTING ELLIPTIC CURVES WITH PRESCRIBED TORSION USING HALVING. 2014. Available from: https://sid.ir/paper/930304/en

IEEE: Copy

HASSAN DAGHIGH, Fatemeh Seifi Shahpar, and Ruhollah Khodakaramian, “CONSTRUCTING ELLIPTIC CURVES WITH PRESCRIBED TORSION USING HALVING,” presented at the CONFERENCE ON COMPUTATIONAL GROUP THEORY, COMPUTATIONAL NUMBER THEORY AND APPLICATIONS. 2014, [Online]. Available: https://sid.ir/paper/930304/en

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