Short exponent diffie-hellman problems

Takeshi Koshiba, Kaoru Kurosawa

研究成果: Article

13 引用 (Scopus)

抜粋

In this paper, we study short exponent Diffie-Hellman problems, where significantly many lower bits are zeros in the exponent. We first prove that the decisional version of this problem is as hard as two well known hard problems, the standard decisional Diffie-Hellman problem (DDH) and the short exponent discrete logarithm problem. It implies that we can improve the efficiency of ElGamal scheme and Cramer-Shoup scheme under the two widely accepted assumptions. We next derive a similar result for the computational version of this problem.

元の言語English
ページ(範囲)173-186
ページ数14
ジャーナルLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
2947
出版物ステータスPublished - 2004 12 1

    フィンガープリント

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

これを引用