Abstract. LED and PHOTON are new ultra-lightweight cryptographic algorithms aiming at resourceconstrained devices. In this article, we describe three different hardware architectures of the LED and PHOTON family optimized for Field-Programmable Gate Array (FPGA) devices. In the first architecture we propose a round-based implementation while the second is a fully serialized architecture performing operations on a single cell per clock cycle. Then, we propose a novel architecture that is designed with a focus on utilizing commonly available building blocks (SRL16). This new architecture, organized in a complex scheduling of the operations, seems very well suited for recent designs that use serial matrices. We implemented both the lightweight block cipher LED and the lightweight hash function PHOTON on the Xilinx FPGA series Spartan-3 (low-cost) and Artix-7 (high-end) devices and our new proposed architecture provides very competitive area-throughput trade-offs. In comparison with other recent lightweight block ciphers, the implementation results of LED show a significant improvement of hardware efficiency and we obtain the smallest known FPGA implementation (as of today) of any hash function.
In this article, we present a high-performance hardware architecture for Elliptic curve based (authenticated) key agreement protocol “Elliptic Curve Menezes, Qu and Vanstone” (ECMQV) over Binary Edwards Curve (BEC). We begin by analyzing inversion module on a 251-bit binary field. Subsequently, we present Field Programmable Gate Array (FPGA) implementations of the unified formula for computing elliptic curve point addition on BEC in affine and projective coordinates and investigate the relative performance of these two coordinates. Then, we implement the
w
-coordinate based differential addition formulae suitable for usage in Montgomery ladder. Next, we present a novel hardware architecture of BEC point multiplication using mixed
w
-coordinates of the Montgomery laddering algorithm and analyze it in terms of resistance to Simple Power Analysis (SPA) attack. In order to improve the performance, the architecture utilizes registers efficiently and uses efficient scheduling mechanisms for the BEC arithmetic implementations. Our implementation results show that the proposed architecture is resistant against SPA attack and yields a better performance when compared to the existing state-of-the-art BEC designs for computing point multiplication (PM). Finally, we present an FPGA design of ECMQV key agreement protocol using BEC defined over GF(2
251
). The execution of ECMQV protocol takes 66.47μs using 32,479 slices on Virtex-4 FPGA and 52.34μs using 15,988 slices on Virtex-5 FPGA. To the best of our knowledge, this is the first FPGA design of the ECMQV protocol using BEC.
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