Public key cryptosystem using finite non abelian groups

Details Public key cryptosystem using finite non abelian groups Public key cryptosystem using finite non abelian groups

2007-07-31

2007-07-31

Arani, Taghi T. (Department: 2139)

Cryptography

Particular algorithmic function encoding

C380S029000, C380S030000, C380S044000, C380S045000, C380S282000, C380S285000, C380S286000, C380S263000, C708S492000

Reexamination Certificate

active

10483187

ABSTRACT:
The present invention relates to a method of encryption and decryption comprises the steps of: selecting a generator and a first element of a first non abelian group, respectively, computing a first inner automorphism which is used as a first public key, and generating a second public key by using a secret key being a first integer and the first public key; expressing a plain text by a product of generator of a second non abelian group, computing a second inner automorphism by using an arbitrary second integer and the first public key, computing a third inner automorphism by using the second integer and the second public key, and generating a ciphertext by using the third inner automorphism; and generating a fourth inner automorphism by using the secret key and the second inner automorphism, and decrypting the ciphertext by using the fourth inner automorphism.

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Cooperman et al., “Computing With Matrix Groups using Permutation Representations”, ACM Press, New York, NY, 1995, pp. 259-264.
Vanston et al., “Factorization in the Elementary Abelian p-Group and Their Cryptographic Significance”, Journal of Cryptography (1994) 7: 201-212.
Ko et al., “New Public-Key Cryptosystem Using Braid Groups”, CRYPOTO 2000, LNCS 1880, pp. 166-183, 2000.

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