J4 ›› 2012, Vol. 50 ›› Issue (4): 719-724.

• 计算机科学 • 上一篇    下一篇

 MPKC的中心映射与公钥形式

ZHAO Bo, ZHAO Hongwei, SU Jinxuan, ZHAO Yongzhe   

  1. 吉林大学 计算机科学与技术学院, 长春 130012
  • 收稿日期:2011-09-19 出版日期:2012-07-01 发布日期:2012-09-07
  • 通讯作者: 赵永哲 E-mail:yongzhe@jlu.edu.cn

Central Mapping-and |Public Key Form-for MPKCs

ZHAO Bo, ZHAO Hongwei, SU Jinxuan, ZHAO Yongzhe   

  1. College of Computer Science and Technology, Jilin University, Changchun 130012, China
  • Received:2011-09-19 Online:2012-07-01 Published:2012-09-07
  • Contact: ZHAO Yongzhe E-mail:yongzhe@jlu.edu.cn

摘要:

 通过分析基于多变元公钥密码(MPKC)的中心映射与公钥形式间的关系表明: 仅当MPKC的中心映射(x)含有一次项时, 选取S为仿射变换才有意义; 当(x)不含一次项时, 则应选取S为线性变换. 该方法不但没有降低系统的安全强度, 还减少了公私钥的尺寸, 提高了系统的加解密效率.

关键词:  基于多变元的公钥密码, 中心映射, 公钥形式

Abstract:

 We analyzed the relationship between the central mapping and the public key’s form for MPKCs. And we proved that only when the central mapping (x) of the MPKC contains the linear items,  choosing S for affine transformation is meaningful. When (x) does not contain any linear item, S should be selected for linear transformation so as to not reduce  the security of the system, and reduce the size of the public and private keys and improve the encryption and decryption efficiency of the system.

Key words:  multivariate public key cryptography, central mapping, form of the public key

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