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

Malek Safieh (Autor)

Buch | Softcover

XVI, 142 Seiten

2021 | 1st ed. 2021
Springer Fachmedien Wiesbaden GmbH (Verlag)
978-3-658-34458-0 (ISBN)

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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.

lt;p>Malek Safieh is a research scientist in the field of cryptography and data compression.

1 Introduction.- 2 Elliptic curve cryptography.- 3 Elliptic curve cryptography over Gaussian integers.- 4 Montgomery arithmetic over Gaussian integers.- 5 Architecture of the ECC coprocessor for Gaussian integers.- 6 Compact architecture of the ECC coprocessor for binary extension fields.- 7 The parallel dictionary LZW algorithm for flash memory controllers.- 8 Conclusion.

Erscheinungsdatum	12.08.2021
Reihe/Serie	Schriftenreihe der Institute für Systemdynamik (ISD) und optische Systeme (IOS)
Zusatzinfo	XVI, 142 p. 26 illus., 3 illus. in color.
Verlagsort	Wiesbaden
Sprache	englisch
Maße	148 x 210 mm
Gewicht	218 g
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
Schlagworte	cryptography • Data Compression • Elliptic Curve Cryptography • Flash Memory • processor design
ISBN-10	3-658-34458-X / 365834458X
ISBN-13	978-3-658-34458-0 / 9783658344580
Zustand	Neuware