Algorithms and Architectures for Cryptography and Source Coding in Non-Volatile Flash Memories


Algorithms and Architectures for Cryptography and Source Coding in Non-Volatile Flash Memories (Schriftenreihe der Institute für Systemdynamik (ISD) und optische Systeme (IOS))
by: Malek Safieh
Publisher Finelybook 出版社:Springer Vieweg; 1st ed. 2021 edition (August 11, 2021)
Language 语言:English
pages 页数:160 pages
ISBN-10 书号:365834458X
ISBN-13 书号:9783658344580

Book Description
In this work, algorithms and architectures for cryptography and source coding are developed, which are suitable for many resource-constrained embedded systems such as non-volatile flash memories. A new concept for elliptic curve cryptography is presented, which uses an arithmetic over Gaussian integers. Gaussian integers are a subset of the complex numbers with integers as real and imaginary parts. Ordinary modular arithmetic over Gaussian integers is computational expensive. To reduce the complexity, a new arithmetic based on the Montgomery reduction is presented. For the elliptic curve point multiplication, this arithmetic over Gaussian integers improves the computational efficiency, the resistance against side channel attacks, and reduces the memory requirements. Furthermore, an efficient variant of the Lempel-Ziv-Welch (LZW) algorithm for universal lossless data compression is investigated. Instead of one LZW dictionary, this algorithm applies several dictionaries to speed up the encoding process. Two dictionary partitioning techniques are introduced that improve the compression rate and reduce the memory size of this parallel dictionary LZW algorithm.

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