Application of finite fields in cryptography

A. I. Makaev, V. A. Chernyavskaya

Ulyanovsk State University, Russia

Abstract: The paper presents constructions for constructing perfect ciphers and optimal authentication codes based on finite fields. Examples of message encryption and receiving convolution for messages are also considered.

Keywords: cipher, finite field, perfect cipher, message imitation, optimal authentication code

UDC: 519.7

Received: 28.11.2023

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