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It is well-studied that quantum computing breaks the security of the current worldwide implemented public key cryptosystems. This forces us toward post quantum cryptography (PQC) whose security remains solid even against adversaries having access to quantum computers. For this matter, national institute of standards and technology (NIST) announced four winners in 2022. Among them, CRYSTALS-Kyber which is the only key encapsulation mechanism (KEM)/PKE algorithm, is the aim of this article. In this article, through using physical unclonable functions (PUFs) and true random number generators (TRNGs), we improve the overall security of Kyber and provide physical security to it. Our implementation results on ARMv7 and ARMv8 architectures, indicate significant speedup, compared to the reference work. For example, for the CCA.KEM-KeyGen() algorithm, we achieved roughly 26%, 13%, and 10% speedup at security levels of 512, 768, and 1024 on ARMv7 implementation, and 25%, 12%, and 10% for ARMv8 implementation. Comparing the implementation results of our design with the reference work indicates that both the security and the system performance are improved. 

In 2016, the National Institute of Standards and Technology (NIST) initiated a standardization process among the post-quantum secure algorithms. Forming part of the alternate group of candidates after Round 2 of the process is the Supersingular Isogeny Key Encapsulation (SIKE) mechanism which attracts with the smallest key sizes offering post-quantum security in scenarios of limited bandwidth and memory resources. Even further reduction of the exchanged information is offered by the compression mechanism, proposed by Azarderakhsh et al., which, however, introduces a significant time overhead and increases the memory requirements of the protocol, making it challenging to integrate it into an embedded system. In this paper, we propose the first compressed SIKE implementation for a resource-constrained device, where we targeted the NIST recommended platform STM32F407VG featuring ARM Cortex-M4 processor. We integrate the isogeny-based implementation strategies described previously in the literature into the compressed version of SIKE. Additionally, we propose a new assembly design for the finite field operations particular for the compressed SIKE, and observe a speedup of up to 16% and up to 25% compared to the last best-reported assembly implementations for p434, p503, and p610.