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A Public Key Encryption Method in Signed Quadratic Residue Groups

A quadratic residual, public key encryption technology, applied in the direction of public key of secure communication, digital transmission system, electrical components, etc., can solve the problems of inefficient one-time signature technology, low efficiency, etc., to achieve high computing efficiency and practical value , the effect of reducing the number of public and private keys

Inactive Publication Date: 2017-05-31
ENG UNIV OF THE CHINESE PEOPLES ARMED POLICE FORCE
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  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

These methods are publicly verifiable, but they all use inefficient one-time signature technology, so the efficiency is very low

Method used

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  • A Public Key Encryption Method in Signed Quadratic Residue Groups
  • A Public Key Encryption Method in Signed Quadratic Residue Groups
  • A Public Key Encryption Method in Signed Quadratic Residue Groups

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Embodiment Construction

[0036] The present invention will be described in detail below in conjunction with the accompanying drawings.

[0037] The invention provides a public key encryption method in a signed quadratic residual group, comprising the following steps:

[0038] Step 1: Set system parameters;

[0039] The receiver or a unified security communication platform is responsible for setting the security parameters. After the parameters are set, it is broadcast to all users; the system parameters to be set are as follows: k is a security parameter, and v is the bit length of the hash function value.

[0040] Step 2: Generate a key;

[0041] 2.1. The receiver selects two prime numbers P and Q according to the security parameter k, and calculates N=PQ, where P=2p+1, Q=2q+1, and both p and q are prime numbers;

[0042] 2.2. Select a collision-resistant hash function H to satisfy H: Among them, Z N is the remainder group modulo N, is the signed quadratic residue group modulo N;

[0043] 2....

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Abstract

The invention discloses a method for encrypting a public key in a signed quadratic residue class group. The method comprises the steps of 1, setting system parameters; 2, generating a secret key; 3, selecting a random number by a sender, carrying out encryption on a message, and generating a ciphertext data packet; 4, sending the ciphertext data packet to a receiver by the sender through a public channel; and 5, verifying the effectiveness of the ciphertext after the receiver receives the ciphertext data packet, decrypting the ciphertext data packet by using a private key, and acquiring the message. The method disclosed by the invention satisfies the confidentiality, the integrity and the chosen-ciphertext attack security simultaneously, and realizes public verification of the ciphertext legitimacy; the method does not use bilinear pairings and one-time signatures which are time-consuming, so that defects of other public key encryption methods in which the ciphertext legitimacy is verified by using the bilinear pairings and the one-time signatures are overcome, thereby having higher computational efficiency and higher practical values.

Description

technical field [0001] The invention belongs to the field of data authentication and security in computer network communication, and in particular relates to a public key encryption method in a signed quadratic residual group. Background technique [0002] Cryptography is the most important means to ensure information security, and encryption is the most important component of cryptography. An encryption method involves two parties: the sender and the receiver. When the sender wants to transmit a message (or plaintext), he first encrypts it to form a ciphertext, and then sends the ciphertext to the receiver. After receiving the ciphertext, the decryptor uses the decryption algorithm to recover the original plaintext from the ciphertext. The purpose of encryption is to allow a sender and receiver to communicate secretly over an insecure channel, which may be under the control of an attacker. The attacker could be eavesdropping on, or even altering, what is being communicat...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): H04L9/30H04L9/00
Inventor 刘镇韩益亮钟卫东杨晓元
Owner ENG UNIV OF THE CHINESE PEOPLES ARMED POLICE FORCE
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