# Binary Edwards Curves for Intrinsically Secure ECC Implementations for the IoT

@inproceedings{Loiseau2018BinaryEC,
title={Binary Edwards Curves for Intrinsically Secure ECC Implementations for the IoT},
author={Antoine Loiseau and Jacques J. A. Fournier},
booktitle={ICETE},
year={2018}
}
• Published in ICETE 2018
• Computer Science, Mathematics
: Even if recent advances in public key cryptography tend to focus on algorithms able to survive the post quantum era. At present, there is a urgent need to propose fast, low power and securely implemented cryptography to address the immediate security challenges of the IoT. In this document, we present a new set of Binary Edwards Curves which have been deﬁned to achieve the highest security levels (up to 284-bit security level) and whose parameters have been deﬁned to ﬁt IoT devices embedding…
4 Citations

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## References

SHOWING 1-10 OF 48 REFERENCES

### Low-Resource and Fast Binary Edwards Curves Cryptography

• Computer Science, Mathematics
INDOCRYPT
• 2015
This paper utilizes corrected mixed point addition and doubling formulas to achieve a secure, but still fast implementation of a point multiplication on binary Edwards curves.

### Efficient implementation of elliptic curve cryptography in wireless sensors

• Computer Science, Mathematics
Adv. Math. Commun.
• 2010
The results strongly indicate that binary curves are the most efficient alternative for the implementation of elliptic curve cryptography in the MICAz Mote, a popular sensor platform.

### Using Templates to Attack Masked Montgomery Ladder Implementations of Modular Exponentiation

• Computer Science, Mathematics
WISA
• 2008
This article shows how template attacks can be used to extract sufficient information to recover the mask and confirms that the described attack could be a serious threat for public key algorithms implemented on devices with small word size.

### State-of-the-art of secure ECC implementations: a survey on known side-channel attacks and countermeasures

• Computer Science, Mathematics
2010 IEEE International Symposium on Hardware-Oriented Security and Trust (HOST)
• 2010
This paper can be used as a road map for countermeasure selection in a first design iteration of Elliptic Curve Cryptosystems and three principles of selecting countermeasures to thwart multiple attacks are given.

### The Carry Leakage on the Randomized Exponent Countermeasure

• Mathematics, Computer Science
CHES
• 2008
It is shown that even though the binary exponentiation, or the scalar product on elliptic curves implementation, does not leak information on the secret key, the computation of the randomized secret exponent, or scalar, can leak useful information for an attacker.

### Zero-Value Point Attacks on Elliptic Curve Cryptosystem

• Computer Science, Mathematics
ISC
• 2003
The zero-value point attack is proposed as an extension of Goubin’s attack and it is noted that this attack and the proposed attack assume that the base point P can be chosen by the attacker and the secret scalar d is fixed, so that they are not applicable to ECDSA signature generation.

### Timing Attacks on Implementations of Diffie-Hellman, RSA, DSS, and Other Systems

• P. Kocher
• Computer Science, Mathematics
CRYPTO
• 1996
By carefully measuring the amount of time required tm perform private key operalions, attackers may be able to find fixed Diffie-Hellman exponents, factor RSA keys, and break other cryptosystems.

### Fault Attack on Elliptic Curve Montgomery Ladder Implementation

• Computer Science, Mathematics
2008 5th Workshop on Fault Diagnosis and Tolerance in Cryptography
• 2008
It is shown how, with few faults, one can retrieve the full secret exponent even if classical countermeasures are employed to prevent fault attacks on elliptic curve scalar product algorithms.

### Complete Addition Formulas for Prime Order Elliptic Curves

• Mathematics, Computer Science
EUROCRYPT
• 2016
This paper presents optimized addition formulas that are complete on every prime order short Weierstrass curve defined over a field k with $$\mathrm{char}k \ne 2,3$$charki¾?2,3 and discusses how these formulas can be used to achieve secure, exception-free implementations on all of the prime order curves in the NIST and many other standards.

### Horizontal Correlation Analysis on Exponentiation

• Computer Science, Mathematics
ICICS
• 2010
A technique in which a single exponentiation curve is applied using only one execution power curve during an exponentiation to recover the whole secret exponent manipulated by the chip, which cannot be prevented by exponent blinding.