International Association for Cryptologic Research

International Association
for Cryptologic Research

CryptoDB

Julio López

Publications

Year
Venue
Title
2019
JOFC
Koblitz Curves over Quadratic Fields
In this work, we retake an old idea that Koblitz presented in his landmark paper (Koblitz, in: Proceedings of CRYPTO 1991. LNCS, vol 576, Springer, Berlin, pp 279–287, 1991 ), where he suggested the possibility of defining anomalous elliptic curves over the base field $${\mathbb {F}}_4$$ F 4 . We present a careful implementation of the base and quadratic field arithmetic required for computing the scalar multiplication operation in such curves. We also introduce two ordinary Koblitz-like elliptic curves defined over $${\mathbb {F}}_4$$ F 4 that are equipped with efficient endomorphisms. To the best of our knowledge, these endomorphisms have not been reported before. In order to achieve a fast reduction procedure, we adopted a redundant trinomial strategy that embeds elements of the field $${\mathbb {F}}_{4^{m}},$$ F 4 m , with m a prime number, into a ring of higher order defined by an almost irreducible trinomial. We also suggest a number of techniques that allow us to take full advantage of the native vector instructions of high-end microprocessors. Our software library achieves the fastest timings reported for the computation of the timing-protected scalar multiplication on Koblitz curves, and competitive timings with respect to the speed records established recently in the computation of the scalar multiplication over binary and prime fields.
2017
CHES
PRESENT Runs Fast
The PRESENT block cipher was one of the first hardware-oriented proposals for implementation in extremely resource-constrained environments. Its design is based on 4-bit S-boxes and a 64-bit permutation, a far from optimal choice to achieve good performance in software. As a result, most software implementations require large lookup tables in order to meet efficiency goals. In this paper, we describe a new portable and efficient software implementation of PRESENT, fully protected against timing attacks. Our implementation uses a novel decomposition of the permutation layer, and bitsliced computation of the S-boxes using optimized Boolean formulas, not requiring lookup tables. The implementations are evaluated in embedded ARM CPUs ranging from microcontrollers to full-featured processors equipped with vector instructions. Timings for our software implementation show a significant performance improvement compared to the numbers from the FELICS benchmarking framework. In particular, encrypting 128 bits using CTR mode takes about 2100 cycles on a Cortex-M3, improving on the best Assembly implementation in FELICS by a factor of 8. Additionally, we present the fastest masked implementation of PRESENT for protection against timing and other side-channel attacks in the scenario we consider, improving on related work by 15%. Hence, we conclude that PRESENT can be remarkably efficient in software if implemented with our techniques, and even compete with a software implementation of AES in terms of latency while offering a much smaller code footprint.
2016
CHES
2013
CHES
2011
EUROCRYPT
2011
CHES
2000
CHES
1999
CHES

Program Committees

CHES 2020