Thesis is analyzing czech laws which are related to medical documentation. Describes the points  which are mandatory for information system, so the medical documentation can be stored electronically. Includes various algorithms for implementation of certain electronic signature and for  identification of person. This thesis deals with asymmetric cryptography, specifically RSA, DSA, and ECDSA. Describes the hash functions and their functions and their characteristics. Describes the principle of the certificate, ways of its obtaining, invalidation and their formats. Analyzes medical information system and suggests ways to create a program for signing medical records. Then based on that analysis, the program is implemented. At the conclusion of the work is discussed, if created program meets the criteria.