Semi-Compressed CRYSTALS-Kyber

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Detalles Bibliográficos
Publicado en:arXiv.org (Jul 25, 2024), p. n/a
Autor principal: Liu, Shuiyin
Otros Autores: Amin Sakzad
Publicado:
Cornell University Library, arXiv.org
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Acceso en línea:Citation/Abstract
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022 |a 2331-8422 
035 |a 3084975263 
045 0 |b d20240725 
100 1 |a Liu, Shuiyin 
245 1 |a Semi-Compressed CRYSTALS-Kyber 
260 |b Cornell University Library, arXiv.org  |c Jul 25, 2024 
513 |a Working Paper 
520 3 |a In this paper, we investigate the communication overhead of the Kyber, which has recently been standardized by the National Institute of Standards and Technology (NIST). Given the same decryption failure rate (DFR) and security argument, we show it is feasible to reduce the communication overhead of the Kyber by 54%. The improvement is based on two technologies: ciphertext quantization and plaintext encoding. First, we prove that the Lloyd-Max quantization is optimal to minimize the decryption decoding noise. The original Kyber compression function is not optimal. Second, we propose an encoding scheme, which combines Pulse-Amplitude Modulation (PAM), Gray mapping, and a binary error correcting code. An explicit expression for the DFR is derived. The minimum possible communication overhead is also derived. Finally, we demonstrate that with the Lloyd-Max quantization, 8-PAM, Gray mapping, and a shortened binary BCH(768,638,13) code, the proposed scheme encapsulates 638 bits (e.g., 2.5 AES keys) in a single ciphertext. 
610 4 |a National Institute of Standards & Technology 
653 |a Encryption 
653 |a Mapping 
653 |a Algorithms 
653 |a Decoding 
653 |a Pulse amplitude modulation 
653 |a Communication 
653 |a Binary codes 
653 |a Error correcting codes 
653 |a Error correction 
653 |a Coding 
700 1 |a Amin Sakzad 
773 0 |t arXiv.org  |g (Jul 25, 2024), p. n/a 
786 0 |d ProQuest  |t Engineering Database 
856 4 1 |3 Citation/Abstract  |u https://www.proquest.com/docview/3084975263/abstract/embedded/75I98GEZK8WCJMPQ?source=fedsrch 
856 4 0 |3 Full text outside of ProQuest  |u http://arxiv.org/abs/2407.17684