Binary right-to-left and left-to-right kP algorithms implemented with Chevallier-Mames atomic blocks are vulnerable to horizontal single-trace SCA attacks, including when projective coordinate randomization is applied.
Atomicity Improvement for Elliptic Curve Scalar Multiplication
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Data redirection and bus reloading prevent distinguishability between multiplication and squaring in ECC scalar multiplication to resist simple SCA, independent of the field multiplier used.
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Horizontal SCA Attacks on Binary kP Algorithms using Chevallier-Mames Atomic Blocks
Binary right-to-left and left-to-right kP algorithms implemented with Chevallier-Mames atomic blocks are vulnerable to horizontal single-trace SCA attacks, including when projective coordinate randomization is applied.
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Preventing Distinguishability between Multiplication and Squaring Operations
Data redirection and bus reloading prevent distinguishability between multiplication and squaring in ECC scalar multiplication to resist simple SCA, independent of the field multiplier used.