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

Malek Safieh

142 pages, parution le 10/08/2021

Ajouter à une liste

Indisponible

Résumé

Gaussian integers are a subset of the complex numbers with integers as real and imaginary parts. 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.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.
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.

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

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Malek Safieh
Parution	10/08/2021
Nb. de pages	142
EAN13	9783658344580

Avantages Eyrolles.com

Livraison à partir de 0,01 € en France métropolitaine

Paiement en ligne SÉCURISÉ

Livraison dans le monde

Retour sous 15 jours

+ d'un million et demi de livres disponibles

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

Résumé

Caractéristiques techniques

Consultez aussi