MATHEMATICAL MODEL OF AUTHENTICATION OF A TRANSMITTED MESSAGE BASED ON A MCELIECE SCHEME ON SHORTED AND EXTENDED MODIFIED ELLIPTIC CODES USING UMAC MODIFIED ALGORITHM
The subject of the research is a mathematical model of authentication of the transmitted message based on the McEliese scheme on shortened and elongated modified elliptic codes using the modified UMAC algorithm. The aim of this work is to develop such a scheme for the information exchange over Inter...
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| Published in: | Kìberbezpeka. osvìta, nauka, tehnìka no. 5; pp. 40 - 51 |
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| Main Authors: | , , |
| Format: | Journal Article |
| Language: | English |
| Published: |
2019
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| ISSN: | 2663-4023, 2663-4023 |
| Online Access: | Get full text |
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| Summary: | The subject of the research is a mathematical model of authentication of the transmitted message
based on the McEliese scheme on shortened and elongated modified elliptic codes using the
modified UMAC algorithm. The aim of this work is to develop such a scheme for the information
exchange over Internet commverification and integrity of the transmitted information, taking into account the prevention of an
increase in the costs of the actions taken. Tasks: analysis of existing ways to increase the
resistance to hacking of transmitted messages over telecommunication networks; analysis of a
message transfer scheme using blockchain technology; formalized description of a mathematical
model for providing clear text authentication using a modified UMAC algorithm, as the formation
of key data, a crypto-code construction (CCC) is used on the McEliese scheme on modified elliptic
codes (MEС); development of data encryption and decryption algorithms using CCC based on
McEliese on the MEC and UMAC algorithm. Аn approach was proposed to verify the
authentication and verification of the information packet during transmission and reception via
telecommunication channels, which allows using already known hashing methods to compare
generated codegrams and transmitted messages for their correspondence, which increases the
level of cryptographic stability of the transmitted data and the reliability of the received data. The
developed schemes of algorithms for generating codеgrams and their decryption using the
proposed approach make it possible to gradually demonstrate the implementation of procedures
for generating codegrams and their hash codes using both shortening and lengthening the code.
Further research should prove from a practical point of view the effectiveness of using this
approach when transmitting a message regarding the preservation of its integrity and
authenticity. Therefore, it is necessary to develop a test system that should implement the
proposed approach, as well as evaluate the results obtained.unication channels, which would ensure the proper level of |
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| ISSN: | 2663-4023 2663-4023 |
| DOI: | 10.28925/2663-4023.2019.5.4051 |