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Encryption key exchange method based on public key centificate on elliptic curve

An elliptic curve and public key certificate technology, which is applied to the usage of multiple keys/algorithms, digital transmission systems, electrical components, etc., can solve problems such as limiting the scope of communication, and achieve the effect of fast computing speed

Inactive Publication Date: 2003-11-12
ZHEJIANG UNIV
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

But the EKE protocol has a serious flaw, it requires both parties to know a shared password P, which greatly limits the scope of communication

Method used

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Examples

Experimental program
Comparison scheme
Effect test

Embodiment Construction

[0012] When the present invention is used for key exchange, it is assumed that user A wants to conduct confidential communication with user B, and needs to transmit the secret session key on an insecure channel. In this method, user A and user B share an elliptic curve, and an elliptic curve is given here as follows:

[0013] E: y 2 =x 3 +ax+b mod n

[0014] in

[0015] p=6277101735386680763835789423207666416083908700390324961279;

[0016] seedE = 0x3045ae6fc8422f64ed579528d38120eae12196d5;

[0017] r = 0x3099d2bbbfcb2538542dcd5fb078b6ed5f3d6fe2c745de65;

[0018] a=-3;

[0019] b=0x64210519e59c80e70fa7e9ab72243049feb8deecc146b9b1;

[0020] h=1

[0021] The order of the elliptic curve is:

[0022] n=6277101735386680763835789423176059013767194773182842284081;

[0023] It is a prime number.

[0024] The selection of the base point P with order n is:

[0025] P = (xG, yG) where

[0026] xG=0x188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012;

[0027] yG=0x07192b95ffc8...

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Abstract

The exchange method is based on discrete-logarithm issue and Diffie-Hellman cipher key exchange protocol on the elliptical curve and assisted with anti-impact odds and ends function, session key exchange method of public key certificate and digital signature. The method is good at security which can be certified and it has quick operation speed.

Description

technical field [0001] The invention relates to a secret or safe communication key exchange method, in particular to a key exchange method based on a public key certificate on an elliptic curve. Background technique [0002] Cryptographic algorithms and communication protocols with provable security are an important and difficult research topic in cryptography. The research on communication security and confidentiality revolves around finding stronger and better cryptosystems. Because the traditional cryptographic system uses a single key for encryption and decryption, once the encryption key is leaked, the entire cryptographic system will lose its function. Therefore, more and more defects have been exposed in practical applications, but because the encryption speed of the symmetric key system is much faster than that of the public key encryption, it has advantages in encrypting a large amount of data. Therefore, a hybrid encryption method is produ...

Claims

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Application Information

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IPC IPC(8): H04L9/00H04L9/14
Inventor 朱华飞
Owner ZHEJIANG UNIV
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