ZHFE, a New Multivariate Public Key Encryption Scheme

2014 ◽  
pp. 229-245 ◽  
Author(s):  
Jaiberth Porras ◽  
John Baena ◽  
Jintai Ding
Keyword(s):  
Public Key ◽  
Encryption Scheme ◽  
Public Key Encryption ◽  
Multivariate Public Key

scholarly journals A Multivariate Public Key Encryption Scheme With Equality Test

IEEE Access ◽  
2020 ◽  
Vol 8 ◽  
pp. 75463-75472
Author(s):  
Xiaoying Shen ◽  
Licheng Wang ◽  
Huijun Zhu ◽  
Yuan Liu
Keyword(s):  
Public Key ◽  
Encryption Scheme ◽  
Public Key Encryption ◽  
Multivariate Public Key ◽  
Equality Test

scholarly journals Building Secure Public Key Encryption Scheme from Hidden Field Equations

2017 ◽  
Vol 2017 ◽  
pp. 1-6
Author(s):  
Yuan Ping ◽  
Baocang Wang ◽  
Yuehua Yang ◽  
Shengli Tian
Keyword(s):  
Public Key Cryptography ◽  
Public Key ◽  
Encryption Scheme ◽  
Public Key Encryption ◽  
Field Equations ◽  
Quadratic Equations ◽  
New Variant ◽  
Multivariate Public Key ◽  
Np Hardness

Multivariate public key cryptography is a set of cryptographic schemes built from the NP-hardness of solving quadratic equations over finite fields, amongst which the hidden field equations (HFE) family of schemes remain the most famous. However, the original HFE scheme was insecure, and the follow-up modifications were shown to be still vulnerable to attacks. In this paper, we propose a new variant of the HFE scheme by considering the special equation x2=x defined over the finite field F3 when x=0,1. We observe that the equation can be used to further destroy the special structure of the underlying central map of the HFE scheme. It is shown that the proposed public key encryption scheme is secure against known attacks including the MinRank attack, the algebraic attacks, and the linearization equations attacks. The proposal gains some advantages over the original HFE scheme with respect to the encryption speed and public key size.

Cryptanalysis on an Improved Version of ElGamal-Like Public-Key Encryption Scheme for Encrypting Large Messages

Informatica ◽  
2012 ◽  
Vol 23 (4) ◽  
pp. 537-562 ◽  
Author(s):  
Ting-Yi Chang ◽  
Min-Shiang Hwang ◽  
Wei-Pang Yang
Keyword(s):  
Public Key ◽  
Encryption Scheme ◽  
Public Key Encryption

Design and Analysis of a Provable Secure Multi-Recipient Public Key Encryption Scheme

2009 ◽  
Vol 20 (10) ◽  
pp. 2907-2914 ◽  
Author(s):  
Liao-Jun PANG ◽  
Hui-Xian LI ◽  
Li-Cheng JIAO ◽  
Yu-Min WANG
Keyword(s):  
Public Key ◽  
Encryption Scheme ◽  
Public Key Encryption
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