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The Elegance of Binary in Cryptography
This chapter explores the rationale for binary systems in digital computing, emphasizing their role in data encryption, particularly with AES and error-correcting codes. It discusses the advantages of binary fields over prime fields in cryptographic applications and outlines advancements in proof systems and architectures developed for Ethereum. The chapter highlights the intricate process of transitioning from cryptographic theory to practical implementations, addressing both the hardware and software scalability challenges involved.