### Abstract

In this paper the Gallant-Lambert-Vanstone method is re-examined for speeding up scalar multiplication. Using the theory of μ-Euclidian algorithm, we provide a rigorous method to reduce the theoretical bound for the decomposition of an integer k in the endomorphism ring of an elliptic curve. We then compare the two different methods for decomposition through computational implementations.

Original language | English |
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Title of host publication | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |

Publisher | Springer Verlag |

Pages | 323-334 |

Number of pages | 12 |

Volume | 2274 |

ISBN (Print) | 3540431683, 9783540431688 |

DOIs | |

Publication status | Published - 2002 |

Event | 5th International Workshop on Practice and Theory in Public Key Cryptosystems, PKC 2002 - Paris, France Duration: 2002 Feb 12 → 2002 Feb 14 |

### Publication series

Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
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Volume | 2274 |

ISSN (Print) | 03029743 |

ISSN (Electronic) | 16113349 |

### Other

Other | 5th International Workshop on Practice and Theory in Public Key Cryptosystems, PKC 2002 |
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Country | France |

City | Paris |

Period | 02/2/12 → 02/2/14 |

### Fingerprint

### ASJC Scopus subject areas

- Computer Science(all)
- Theoretical Computer Science

### Cite this

*Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)*(Vol. 2274, pp. 323-334). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 2274). Springer Verlag. https://doi.org/10.1007/3-540-45664-3_23

**An alternate decomposition of an integer for faster point multiplication on certain elliptic curves.** / Park, Young Ho; Jeong, Sangtae; Kim, Chang Han; Lim, Jong In.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics).*vol. 2274, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 2274, Springer Verlag, pp. 323-334, 5th International Workshop on Practice and Theory in Public Key Cryptosystems, PKC 2002, Paris, France, 02/2/12. https://doi.org/10.1007/3-540-45664-3_23

}

TY - GEN

T1 - An alternate decomposition of an integer for faster point multiplication on certain elliptic curves

AU - Park, Young Ho

AU - Jeong, Sangtae

AU - Kim, Chang Han

AU - Lim, Jong In

PY - 2002

Y1 - 2002

N2 - In this paper the Gallant-Lambert-Vanstone method is re-examined for speeding up scalar multiplication. Using the theory of μ-Euclidian algorithm, we provide a rigorous method to reduce the theoretical bound for the decomposition of an integer k in the endomorphism ring of an elliptic curve. We then compare the two different methods for decomposition through computational implementations.

AB - In this paper the Gallant-Lambert-Vanstone method is re-examined for speeding up scalar multiplication. Using the theory of μ-Euclidian algorithm, we provide a rigorous method to reduce the theoretical bound for the decomposition of an integer k in the endomorphism ring of an elliptic curve. We then compare the two different methods for decomposition through computational implementations.

UR - http://www.scopus.com/inward/record.url?scp=84958961275&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84958961275&partnerID=8YFLogxK

U2 - 10.1007/3-540-45664-3_23

DO - 10.1007/3-540-45664-3_23

M3 - Conference contribution

SN - 3540431683

SN - 9783540431688

VL - 2274

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 323

EP - 334

BT - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

PB - Springer Verlag

ER -