Residue number system arithmetic: modern applications in digital signal processing
Residue number system arithmetic: modern applications in digital signal processing
The lifting scheme: a construction of second generation wavelets
SIAM Journal on Mathematical Analysis
A High Performance Reconfigurable Elliptic Curve Processor for GF(2m)
CHES '00 Proceedings of the Second International Workshop on Cryptographic Hardware and Embedded Systems
A Reconfigurable System on Chip Implementation for Elliptic Curve Cryptography over GF(2n)
CHES '02 Revised Papers from the 4th International Workshop on Cryptographic Hardware and Embedded Systems
Rapid Prototyping for Hardware Accelerated Elliptic Curve Public-Key Cryptosystems
RSP '01 Proceedings of the 12th International Workshop on Rapid System Prototyping
A Hardware Architecture for Elliptic Curve Cryptography and Lossless Data Compression
CONIELECOMP '05 Proceedings of the 15th International Conference on Electronics, Communications and Computers
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The paper reports the development of a new cryptosystem with a multilevel structure for encryption and decryption. At the first level, RNS-based implementation of a public-key RSA signature converts the original plaintext into a ciphertext. Iterated wavelet-based subband coding splits the ciphertext into different levels of decomposition. At subsequent levels of decomposition, the ciphertext from the preceding level serves as plaintext for encryption using convolutional codes. Attack is difficult since the cryptographic complexity is propagated from one level of decomposition to another. By using the RNS, there is efficient key management since long secret keys are replaced by short parallel keys which depend on the residue set. Moduli set {111, 115, 119} is used to implement a multilevel non-linear (8, 8, 2) two-cascaded model on a Virtex-4 FPGA. To our knowledge, this is the first proposal of a hardware implementation of a cryptosystem using lossless compression and convolutional codes.