{"title":"评估密码协议安全性的方法学","authors":"A. Nesterenko, A. M. Semenov","doi":"10.17223/20710410/56/4","DOIUrl":null,"url":null,"abstract":"This paper proposes a method for evaluating the security of cryptographic protocols used to protect information in telecommunication networks, as well as in networks of the “Internet of Things”. The procedure for evaluation of information system security is described, including the construction of the list of threats, the threat model, and detailing of the model and the abilities of the intruder. The concept of security property is considered, the extended list of the specified properties, their classification and formal mathematical model are given. As part of the model, for given properties of security, we propose a method for obtaining numerical values of performance parameters depending on the probability of success and algorithmic complexity of the solution of a number of known mathematical problems. In conclusion, the results of the application of the proposed method to the analysis of ESP and IKEv2 protocols of IPSec family standardized in the Russian Federation are presented.","PeriodicalId":42607,"journal":{"name":"Prikladnaya Diskretnaya Matematika","volume":"1 1","pages":""},"PeriodicalIF":0.2000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Methodology for assessing the security of cryptographic protocols\",\"authors\":\"A. Nesterenko, A. M. Semenov\",\"doi\":\"10.17223/20710410/56/4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper proposes a method for evaluating the security of cryptographic protocols used to protect information in telecommunication networks, as well as in networks of the “Internet of Things”. The procedure for evaluation of information system security is described, including the construction of the list of threats, the threat model, and detailing of the model and the abilities of the intruder. The concept of security property is considered, the extended list of the specified properties, their classification and formal mathematical model are given. As part of the model, for given properties of security, we propose a method for obtaining numerical values of performance parameters depending on the probability of success and algorithmic complexity of the solution of a number of known mathematical problems. In conclusion, the results of the application of the proposed method to the analysis of ESP and IKEv2 protocols of IPSec family standardized in the Russian Federation are presented.\",\"PeriodicalId\":42607,\"journal\":{\"name\":\"Prikladnaya Diskretnaya Matematika\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.2000,\"publicationDate\":\"2022-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Prikladnaya Diskretnaya Matematika\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.17223/20710410/56/4\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Prikladnaya Diskretnaya Matematika","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.17223/20710410/56/4","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
Methodology for assessing the security of cryptographic protocols
This paper proposes a method for evaluating the security of cryptographic protocols used to protect information in telecommunication networks, as well as in networks of the “Internet of Things”. The procedure for evaluation of information system security is described, including the construction of the list of threats, the threat model, and detailing of the model and the abilities of the intruder. The concept of security property is considered, the extended list of the specified properties, their classification and formal mathematical model are given. As part of the model, for given properties of security, we propose a method for obtaining numerical values of performance parameters depending on the probability of success and algorithmic complexity of the solution of a number of known mathematical problems. In conclusion, the results of the application of the proposed method to the analysis of ESP and IKEv2 protocols of IPSec family standardized in the Russian Federation are presented.
期刊介绍:
The scientific journal Prikladnaya Diskretnaya Matematika has been issued since 2008. It was registered by Federal Control Service in the Sphere of Communications and Mass Media (Registration Witness PI № FS 77-33762 in October 16th, in 2008). Prikladnaya Diskretnaya Matematika has been selected for coverage in Clarivate Analytics products and services. It is indexed and abstracted in SCOPUS and WoS Core Collection (Emerging Sources Citation Index). The journal is a quarterly. All the papers to be published in it are obligatorily verified by one or two specialists. The publication in the journal is free of charge and may be in Russian or in English. The topics of the journal are the following: 1.theoretical foundations of applied discrete mathematics – algebraic structures, discrete functions, combinatorial analysis, number theory, mathematical logic, information theory, systems of equations over finite fields and rings; 2.mathematical methods in cryptography – synthesis of cryptosystems, methods for cryptanalysis, pseudorandom generators, appreciation of cryptosystem security, cryptographic protocols, mathematical methods in quantum cryptography; 3.mathematical methods in steganography – synthesis of steganosystems, methods for steganoanalysis, appreciation of steganosystem security; 4.mathematical foundations of computer security – mathematical models for computer system security, mathematical methods for the analysis of the computer system security, mathematical methods for the synthesis of protected computer systems;[...]