Imaña Pascual, José LuisHe, PengzhouBao, TianyouTu, Yazheng2023-06-222023-06-222022-05-021549-832810.1109/TCSI.2022.3169471https://hdl.handle.net/20.500.14352/71499©2022 IEEE The work of José L. Imaña was supported in part by the Spanish Government Ministerio de Economia y Competitividad (MINECO) under Grant RTI2018-093684-B-I00 and in part by the Comunidad de Madrid under Grant S2018/TCS-4423. The work of Jiafeng Xie was supported by the National Science Foundation (NSF) Award under Grant SaTC-2020625 and Grant NIST-60NANB20D203.Ring learning-with-errors (RLWE)-based encryption scheme is a lattice-based cryptographic algorithm that constitutes one of the most promising candidates for Post-Quantum Cryptography (PQC) standardization due to its efficient implementation and low computational complexity. Binary Ring-LWE (BRLWE) is a new optimized variant of RLWE, which achieves smaller computational complexity and higher efficient hardware implementations. In this paper, two efficient architectures based on Linear-Feedback Shift Register (LFSR) for the arithmetic used in Inverted Binary Ring-LWE (InvBRLWE)-based encryption scheme are presented, namely the operation of A center dot B+C over the polynomial ring ${Z}_q/(x<^>n+1)$ . The first architecture optimizes the resource usage for major computation and has a novel input processing setup to speed up the overall processing latency with minimized input loading cycles. The second architecture deploys an innovative serial-in serial-out processing format to reduce the involved area usage further yet maintains a regular input loading time-complexity. Experimental results show that the architectures presented here improve the complexities obtained by competing schemes found in the literature, e.g., involving 71.23% less area-delay product than recent designs. Both architectures are highly efficient in terms of area-time complexities and can be extended for deploying in different lightweight application environments.engjournal articlehttp://dx.doi.org/10.1109/TCSI.2022.3169471https://ieeexplore.ieee.org/open access004.8Polynomial multiplicationImplementationArchitectureLightweightComputer architectureHardwareArithmeticCryptographyEncryptionLoadingElliptic curve cryptographyBinary ring-LWEHardware designLattice-basedLFSRPost-quantum cryptographyPolynomial arithmeticInteligencia artificial (Informática)1203.04 Inteligencia Artificial