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

Malek Safieh

ISBN 10: 365834458X / ISBN 13: 9783658344580

Published by Springer Fachmedien Wiesbaden, Springer Fachmedien Wiesbaden Aug 2021, 2021

About this Item

Neuware -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.Springer Vieweg in Springer Science + Business Media, Abraham-Lincoln-Straße 46, 65189 Wiesbaden 160 pp. Englisch.

Seller Inventory # 9783658344580

Bibliographic Details

• Title: Algorithms and Architectures for Cryptography and Source Coding in Non-Volatile Flash Memories
• Publisher: Springer Fachmedien Wiesbaden, Springer Fachmedien Wiesbaden Aug 2021
• Publication Date: 2021
• Language: English
• ISBN 10: 365834458X
• ISBN 13: 9783658344580
• Binding: Taschenbuch
• Condition: Neu

About this title

Synopsis

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.

About the Author

Malek Safieh is a research scientist in the field of cryptography and data compression.