Computer arithmetic algorithms
Computer arithmetic algorithms
Elliptic curves in cryptography
Elliptic curves in cryptography
Optimal Left-to-Right Binary Signed-Digit Recoding
IEEE Transactions on Computers - Special issue on computer arithmetic
Smart Card Crypto-Coprocessors for Public-Key Cryptography
CARDIS '98 Proceedings of the The International Conference on Smart Card Research and Applications
Differential Fault Attacks on Elliptic Curve Cryptosystems
CRYPTO '00 Proceedings of the 20th Annual International Cryptology Conference on Advances in Cryptology
CORSAIR: A SMART Card for Public Key Cryptosystems
CRYPTO '90 Proceedings of the 10th Annual International Cryptology Conference on Advances in Cryptology
Efficient Elliptic Curve Exponentiation Using Mixed Coordinates
ASIACRYPT '98 Proceedings of the International Conference on the Theory and Applications of Cryptology and Information Security: Advances in Cryptology
Resistance against Differential Power Analysis for Elliptic Curve Cryptosystems
CHES '99 Proceedings of the First International Workshop on Cryptographic Hardware and Embedded Systems
Protections against Differential Analysis for Elliptic Curve Cryptography
CHES '01 Proceedings of the Third International Workshop on Cryptographic Hardware and Embedded Systems
The Montgomery Powering Ladder
CHES '02 Revised Papers from the 4th International Workshop on Cryptographic Hardware and Embedded Systems
Optical Fault Induction Attacks
CHES '02 Revised Papers from the 4th International Workshop on Cryptographic Hardware and Embedded Systems
Fault Attacks on RSA with CRT: Concrete Results and Practical Countermeasures
CHES '02 Revised Papers from the 4th International Workshop on Cryptographic Hardware and Embedded Systems
Tamper resistance: a cautionary note
WOEC'96 Proceedings of the 2nd conference on Proceedings of the Second USENIX Workshop on Electronic Commerce - Volume 2
The RSA cryptography processor
EUROCRYPT'87 Proceedings of the 6th annual international conference on Theory and application of cryptographic techniques
Programmable and Parallel ECC Coprocessor Architecture: Tradeoffs between Area, Speed and Security
CHES '09 Proceedings of the 11th International Workshop on Cryptographic Hardware and Embedded Systems
ISPEC'07 Proceedings of the 3rd international conference on Information security practice and experience
Combined implementation attack resistant exponentiation
LATINCRYPT'10 Proceedings of the First international conference on Progress in cryptology: cryptology and information security in Latin America
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
An updated survey on secure ECC implementations: attacks, countermeasures and cost
Cryptography and Security
The importance of the final exponentiation in pairings when considering fault attacks
Pairing'07 Proceedings of the First international conference on Pairing-Based Cryptography
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We present a new type of fault attacks on elliptic curve scalar multiplications: Sign Change Attacks. These attacks exploit different number representations as they are often employed in modern cryptographic applications. Previously, fault attacks on elliptic curves aimed to force a device to output points which are on a cryptographically weak curve. Such attacks can easily be defended against. Our attack produces points which do not leave the curve and are not easily detected. The paper also presents a revised scalar multiplication algorithm that protects against Sign Change Attacks.