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IEEE Transactions on Applied Superconductivity

Logic Design and Simulation of a 128-b AES Encryption Accelerator Based on Rapid Single-Flux-Quantum Circuits

Yan Zhou, Guang-Ming Tang, Jia-Hong Yang, Pei-Shi Yu, Changgen Peng

Published Apr 27, 2021• 12 citations
Publisher

Abstract

A 128-b rapid single-flux-quantum (RSFQ) Advanced Encryption Standard (AES) encryption accelerator based on bit-slice architecture is proposed for the first time. Unlike the traditional methods, the method of looking up only one 256-B table to complete the entire AES round function is proposed. The proposed method can reduce nearly 50% of the hardware cost compared to the traditional method. The simple lookup table, shift, and xor operations are used in the proposed accelerator where one 256-B table needs to be stored for lookup table operations. The RSFQ logic circuits of the proposed accelerator are designed and simulated at the logic level. It consists of 136 558 JJs based on the Open Dataset of CONNECT Cell Library for AIST ADP2. The simulation results show the proposed accelerator works correctly.

DOI
10.1109/tasc.2021.3075604

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A 128-b rapid single-flux-quantum (RSFQ) Advanced Encryption Standard (AES) encryption accelerator based on bit-slice architecture is proposed for the first time. Unlike the traditional methods, the method of looking up only one 256-B table to complete the entire AES round function is proposed. The proposed method can reduce nearly 50% of the hardware cost compared to the traditional method. The simple lookup table, shift, and xor operations are used in the proposed accelerator where one 256-B table needs to be stored for lookup table operations. The RSFQ logic circuits of the proposed accelerator are designed and simulated at the logic level. It consists of 136 558 JJs based on the Open Dataset of CONNECT Cell Library for AIST ADP2. The simulation results show the proposed accelerator works correctly.
Rapid single flux quantum (RSFQ) circuits are a kind of superconducting digital circuits, having properties of a natural gate-level pipelining synchronous sequential circuit, which demonstrates high energy efficiency and high throughput advantage. We find that the high-throughput and high-speed performance of RSFQ circuits can take the advantage of a hardware implementation of the encryption algorithm, whereas these are rarely applied to this field. Among the available encryption algorithms, the advanced encryption standard (AES) algorithm is an advanced encryption standard algorithm. It is currently the most widely used symmetric cryptography algorithm. In this work, we aim to demonstrate the SubByte operation of an AES-128 algorithm using RSFQ circuits based on the SIMIT Nb03 process. We design an AES S-box circuit in the RSFQ logic, and compare its operational frequency, power dissipation, and throughput with those of the CMOS-based circuit post-simulated in the same structure. The complete RSFQ S-box circuit costs a total of 42237 Josephson junctions with nearly 130 Gbps throughput under the maximum simulated frequency of 16.28 GHz. Our analysis shows that the frequency and throughput of the RSFQ-based S-box are about four times higher than those of the CMOS-based S-box. Further, we design and fabricate a few typical modules of the S-box. Subsequent measurements demonstrate the correct functioning of the modules in both low and high frequencies up to 28.8 GHz.
Logic design of a 16-bit bit-slice shifter for 64-bit superconducting rapid single-flux-quantum (RSFQ) microprocessors is proposed. The shifter supports three types of shift operations including logic shift, arithmetic shift and rotating shift. Each of 64-bit shift input operands is divided into four slices of 16-bit each. In order to simulate the digital function and timing of the proposed 16-bit bit-slice shifter, we design a logic-level simulation model based on the Open Dataset of CONNECT Cell Library for AIST ADP2. As the results of simulation, the information of RSFQ circuits, such as the number of Josephson junctions, area and latency of the 16-bit bit slice shifter can be obtained. The simulation results show that the proposed 16-bit bit-slice shifter can work correctly.
A rapid single-flux-quantum (RSFQ) 4-bit bit-slice multiplier is proposed. A new systolic-like multiplication algorithm suitable for RSFQ implementation is developed. The multiplier is designed using the cell library for AIST 10-kA/cm2 1.0-μm fabrication technology (ADP2). Concurrent flow clocking is used to design a fully pipelined RSFQ logic design. A 4n x 4n-bit multiplier consists of 2n + 17 stages. For verifying the algorithm and the logic design, a physical layout of the 8 x 8-bit multiplier has been designed with target operating frequency of 50 GHz and simulated. It consists of 21 stages and 11, 488 Josephson junctions. The simulation results show correct operation up to 62.5 GHz.
With Moore's law approaching its physical limits, low-temperature computing technology is ushering in unprecedented development opportunities. Rapid single-flux-quantum (RSFQ) circuit technology is currently the most mature superconducting integrated circuit technology. Based on the current fabrication process, we propose an 8-bit bit-parallel RSFQ microprocessor. The proposed microprocessor processes 8-bit data each clock cycle. Ten different instructions are executed. The microprocessor mainly consists of an on-chip instruction memory, two data registers, an instruction decoder, an 8-bit bit-parallel arithmetic logic unit, and a program counter. The microprocessor contains 7702 JJs (based on the Open Dataset of CONNECT Cell Library for AIST ADP2) without considering splitters, Josephson transmission lines, and passive transmission lines. We perform a logic-level simulation of the proposed microprocessor. The simulation results show correct operation with a target frequency of 16.7 GHz.
Rapid single-flux-quantum (RSFQ) is expected to be the next generation integrated circuit technology because of its ultra-high-speed with ultra-low-power consumption. We propose datapath circuits for an 8-bit bit-parallel RSFQ microprocessor. The proposed datapath circuits process 8-bit data each clock cycle. Seven instructions are executed in the datapath, including ADD, ADDI, IN, OUT, LOADI, SRL and MOV. The datapath circuits consist of eight input ports, eight output ports, five multiplexers (MUXs), two 8-bit data registers and one 8-bit bit-parallel arithmetic logic unit (ALU). The datapath circuits contain 12 pipeline stages and 2993 JJs based on the Open Dataset of CONNECT Cell Library for AIST ADP2 without considering wiring cells. We perform digital simulation of the proposed datapath circuits. The simulation results show correct operation with the assumed frequency of 20 GHz.
A 4-bit bit-slice multiplier for a 32-bit rapid single-flux-quantum (RSFQ) microprocessor is proposed. It carries out both signed and unsigned integer multiplication. A fully pipelined RSFQ logic design of the multiplier using concurrent flow clocking consists of 33 stages and 17,551 Josephson junctions. The bit-slice approach simplifies the circuit complexity and reduces the hardware cost. For verification, an 8×8-bit 4-bit bit-slice multiplier based on the proposed algorithm has been designed and simulated using AIST 10-kA/cm21.0-μm fabrication technology. The simulation result shows correct operation at 62.5 GHz.