Part 1. General problems of the intellectual systems theory

Electronic digital signature based on codes, defining images up to affine transformations

V. N. Kozlov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: The first and long-standing variant of protecting a document from forgery (it is still used today) is the so-called “living” signature (or facsimile), and a clerical seal. However, nowadays the document flow is mostly electronic, and often with a very large number of documents (electronic trading, bank payment systems, transactions in crypto-currencies, etc.). The digital signature that emerged more then forty years ago works here. As a rule, the core of a digital signature is a function whose value is easily calculated for a given argument value, and the reverse, i.e. calculating the value of an argument given the value of a function is very difficult.
The article describes an analogue of a digital signature on a different fundamental basis, using image codes that define them up to affine transformations.

Keywords: digital signature, image, image code, affine transformations, image authentication