Error-control coding for computer systems
Error-control coding for computer systems
Efficient Exponentiation of a Primitive Root in GF(2m)
IEEE Transactions on Computers
Low-Energy Digit-Serial/Parallel Finite Field Multipliers
Journal of VLSI Signal Processing Systems - Special issue on application specific systems, architectures and processors
On-Line Error Detection for Bit-Serial Multipliers in GF(2m)
Journal of Electronic Testing: Theory and Applications
Reed-Solomon Codes and Their Applications
Reed-Solomon Codes and Their Applications
Error Detection in Polynomial Basis Multipliers over Binary Extension Fields
CHES '02 Revised Papers from the 4th International Workshop on Cryptographic Hardware and Embedded Systems
GLFSR - A New Test Pattern Generator for Built-In Self-Test
Proceedings of the IEEE International Test Conference on TEST: The Next 25 Years
IEEE Transactions on Computers
Towards fault-tolerant cryptographic computations over finite fields
ACM Transactions on Embedded Computing Systems (TECS)
Elliptic Curve Cryptosystems in the Presence of Permanent and Transient Faults
Designs, Codes and Cryptography
DFT '05 Proceedings of the 20th IEEE International Symposium on Defect and Fault Tolerance in VLSI Systems
Low Cost Concurrent Error Detection for the Advanced Encryption Standard
ITC '04 Proceedings of the International Test Conference on International Test Conference
Fault Detection Architectures for Field Multiplication Using Polynomial Bases
IEEE Transactions on Computers
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Concurrent error detection architectures for Gaussian normal basis multiplication over GF(2m)
Integration, the VLSI Journal
Journal of Signal Processing Systems
IEEE Transactions on Very Large Scale Integration (VLSI) Systems
IEEE Transactions on Very Large Scale Integration (VLSI) Systems
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The detection of errors in arithmetic operations is an important issue. This paper discusses the detection of multiple-bit errors due to faults in bit-serial and bit-parallel polynomial basis (PB) multipliers over binary extension fields. Our approach is based on multiple parity bits. Experimental results presented here show that due to an increase in the number of parity bits, the area overhead tends to increase linearly, but the probability of error detection approaches unity fairly quickly, e.g., for eight parity bits. In bit-serial implementation of a GF(2163) PB multiplier using eight parity bits, the area overhead and the probability of error detection are 10.29% and 0.996, respectively. This is achieved without any increase in the computation time of the GF(2163) PB multiplier.