Algorithmica
A course in number theory and cryptography
A course in number theory and cryptography
A survey of fast exponentiation methods
Journal of Algorithms
Elliptic curves in cryptography
Elliptic curves in cryptography
A method for obtaining digital signatures and public-key cryptosystems
Communications of the ACM
A matricial public key cryptosystem with digital signature
WSEAS Transactions on Mathematics
An optimized pseudorandom generator using packed matrices
WSEAS Transactions on Information Science and Applications
Selective encryption techniques of JPEG2000 codestream for medical images transmission
WSEAS Transactions on Circuits and Systems
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This paper describes a new method for authentication and integrity where the ciphertext is obtained using block upper triangular matrices with elements in Zp, in which the discrete logarithm problem (DLP) defined over a finite group is used. In the proposed public key cryptosystem, the encryption requires very few operations and decryption is equivalent to the DLP and, finally, the signature scheme presented is based on the ElGamal signature scheme and requires the original message in order to verify the signature. With this system we get a large key space without increasing the difficulty of the problem.