digital signature

mechanisms for secure exchange of transactions are analyzed. The distributed structure of the blockchain network, built on the basis of a sequence of blocks containing transaction data, is considered. The fundamental features of the blockchain technology are described, as well as the 6-component multilayer blockchain architecture. The importance of using cryptographic hash functions to ensure the security and integrity of data in a blockchain network is shown.

The article describes development of Galois field GF(3m) elements multiplier. Designed multiplier architecture is scaleable. The multiplier is used in digital signature device which are based on elliptic curves. Also verification method for operations over elements of the Galois fields GF (pm) with help of mathematical package Maple is described.