Introduction to finite fields and their applications
Introduction to finite fields and their applications
Error-control coding for computer systems
Error-control coding for computer systems
Optimal normal bases in GF(pn)
Discrete Applied Mathematics
Structure of parallel multipliers for a class of fields GF(2m)
Information and Computation
Bit serial multiplication in finite fields
SIAM Journal on Discrete Mathematics
IEEE Transactions on Computers - Special issue on computer arithmetic
Fault-tolerant computer system design
Fault-tolerant computer system design
Journal of Electronic Testing: Theory and Applications
A method for obtaining digital signatures and public-key cryptosystems
Communications of the ACM
A Modified Massey-Omura Parallel Multiplier for a Class of Finite Fields
IEEE Transactions on Computers
GF(2m) Multiplication and Division Over the Dual Basis
IEEE Transactions on Computers
VLSI Designs for Multiplication over Finite Fields GF (2m)
AAECC-6 Proceedings of the 6th International Conference, on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
Can Concurrent Checkers Help BIST?
Proceedings of the IEEE International Test Conference on Discover the New World of Test and Design
Parity-Scan Design to Reduce the Cost of Test Application
Proceedings of the IEEE International Test Conference on Discover the New World of Test and Design
Self-dual parity checking-A new method for on-line testing
VTS '96 Proceedings of the 14th IEEE VLSI Test Symposium
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
Towards fault-tolerant cryptographic computations over finite fields
ACM Transactions on Embedded Computing Systems (TECS)
Concurrent Error Detection in a Bit-Parallel Systolic Multiplier for Dual Basis of GF(2m)
Journal of Electronic Testing: Theory and Applications
Concurrent Error Detection in a Polynomial Basis Multiplier over GF(2m)
Journal of Electronic Testing: Theory and Applications
Fault Detection Architectures for Field Multiplication Using Polynomial Bases
IEEE Transactions on Computers
On concurrent detection of errors in polynomial basis multiplication
IEEE Transactions on Very Large Scale Integration (VLSI) Systems
Journal of Electronic Testing: Theory and Applications
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
Concurrent error detection architectures for field multiplication using gaussian normal basis
ISPEC'10 Proceedings of the 6th international conference on Information Security Practice and Experience
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In this paper error detection is applied to four finite field bit-serial multipliers. It is shown that by using parity prediction, on-lineerror detection can be incorporated into these multipliers with very lowhardware overheads. These hardware overheads are generally independent of m and comprise only a handful of gates, so for large values of m theseoverheads are particularly low. The fault coverage of the presentedstructures has been investigated by simulation experiment and shown to rangebetween 90% and 94.3%.