An Extension of GHS Weil Descent Attack(Public Key Cryptography)(<Special Section>Cryptography and Information Security)

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概要

• 論文の詳細を見る

• The Weil descent attack, suggested by Frey, has been implemented by Gaudry, Hess and Smart (the so-called GHS attack) on elliptic curves over finite fields of characteristic two and with composite extension degrees. Recently, Diem presented a general treatment of the GHS attack to hyperelliptic curves over finite fields of arbitrary odd characteristics. This paper shows that Diem's approach can be extended to curves of which the function fields are cyclic Galois extensions. In particular, we show the existence of GHS Weil restriction, triviality of the kernel of GHS conorm-norm homomorphism, and lower/upper bounds of genera of the resulting curves.

• 社団法人電子情報通信学会の論文
• 2005-01-01

著者

• Chao Jinhui

  Department Of Information And System Engineering Chuo University

• Chao Jinhui

  Department Of Electrical And Electronic Engineering Faculty Of Science And Engineering Chuo Universi

• SHIMURA Mahoro

  Chuo Univ. 21st Century Center of Excellence Program

• Iijima Tsutomu

  Department Of Information And System Engineering Chuo University

• Tsujii Shigeo

  Research And Development Initiative At Chuo University

• Shimura Mahoro

  Chuo University 21st Century Center Of Excellence Program

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