STOC '90 Proceedings of the twenty-second annual ACM symposium on Theory of computing
Algebraic aspects of cryptography
Algebraic aspects of cryptography
New Public-Key Cryptosystem Using Braid Groups
CRYPTO '00 Proceedings of the 20th Annual International Cryptology Conference on Advances in Cryptology
NTRU: A Ring-Based Public Key Cryptosystem
ANTS-III Proceedings of the Third International Symposium on Algorithmic Number Theory
A knapsack-based probabilistic encryption scheme
Information Sciences: an International Journal
New Digital Signature Scheme in Gaussian Monoid
Informatica
Quadratic compact knapsack public-key cryptosystem
Computers & Mathematics with Applications
EUROCRYPT'97 Proceedings of the 16th annual international conference on Theory and application of cryptographic techniques
Cryptanalysis of Polly Cracker
IEEE Transactions on Information Theory
Implicit polynomial recovery and cryptanalysis of a combinatorial key cryptosystem
ICICS'12 Proceedings of the 14th international conference on Information and Communications Security
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Combinatorial problems serve as an important resource for developing practical public key cryptosystems and several combinatorial cryptosystems have been proposed in the cryptographic community. In this paper, a combinatorial public key cryptosystem is proposed. The security of the proposed cryptosystem is dependent on a combinatorial problem involving matrices. The system features fast encryption and decryption. However, the system also suffers from some drawbacks. The ciphertext expansion is relatively large and the key sizes are somewhat larger than that of RSA. The security of the system is carefully examined by illustrating the computational infeasibilities of some attacks on the system.