Submitted:
27 July 2018
Posted:
30 July 2018
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Abstract
Two new systematic authentication codes based on the Gray map over a Galois ring are introduced. The first introduced code attains optimal impersonation and substitution probabilities. The second code improves space sizes but it does not attain optimal probabilities. Besides it is conditioned to the existence of a special class of bent maps on Galois rings.
Keywords:
authentication schemes
; resilient maps
; gray map
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