{'fraction_non_alphanumeric': 0.023622047244094488, 'fraction_numerical': 0.0, 'mean_word_length': 5.449275362318841, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Low-cost fault detection method for ECC using Montgomery powering ladder

When using Elliptic Curve Cryptography (ECC) in constrained embedded devices such as RFID tags, López-Dahab's method along with the Montgomery powering ladder is considered as the most suitable method. It uses x-coordinate only for point representation, and meanwhile offers intrinsic protection against simple power analysis. This paper proposes a low-cost fault detection mechanism for Elliptic Curve Scalar Multiplication (ECSM) using the López-Dahab algorithm. Introducing minimal changes to the last round of the algorithm, we make it capable of detecting faults with a very high probability. In addition, by reusing the existing resources, we significantly reduce both performance losses and area overhead compared to other methods in this scenario. This method is suitable especially for constrained devices.