{"title":"密集非二进制斐波那契码","authors":"Shmuel T. Klein, Dana Shapira","doi":"10.1007/s00236-024-00473-9","DOIUrl":null,"url":null,"abstract":"<div><p>The current study advances prior research on non-binary Fibonacci codes by introducing new families of universal codes. These codes demonstrate the advantage of accommodating a larger number of codewords for sufficiently large lengths. They retain the properties of instantaneous decipherability and robustness against transmission errors. This work presents these dense codes as a promising alternative for compressing extensive lists of very large integers, commonly encountered in cryptographic applications. \n</p></div>","PeriodicalId":7189,"journal":{"name":"Acta Informatica","volume":"62 1","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2024-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Dense non-binary Fibonacci codes\",\"authors\":\"Shmuel T. Klein, Dana Shapira\",\"doi\":\"10.1007/s00236-024-00473-9\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The current study advances prior research on non-binary Fibonacci codes by introducing new families of universal codes. These codes demonstrate the advantage of accommodating a larger number of codewords for sufficiently large lengths. They retain the properties of instantaneous decipherability and robustness against transmission errors. This work presents these dense codes as a promising alternative for compressing extensive lists of very large integers, commonly encountered in cryptographic applications. \\n</p></div>\",\"PeriodicalId\":7189,\"journal\":{\"name\":\"Acta Informatica\",\"volume\":\"62 1\",\"pages\":\"\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2024-12-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Acta Informatica\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s00236-024-00473-9\",\"RegionNum\":4,\"RegionCategory\":\"计算机科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"COMPUTER SCIENCE, INFORMATION SYSTEMS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Informatica","FirstCategoryId":"94","ListUrlMain":"https://link.springer.com/article/10.1007/s00236-024-00473-9","RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"COMPUTER SCIENCE, INFORMATION SYSTEMS","Score":null,"Total":0}
The current study advances prior research on non-binary Fibonacci codes by introducing new families of universal codes. These codes demonstrate the advantage of accommodating a larger number of codewords for sufficiently large lengths. They retain the properties of instantaneous decipherability and robustness against transmission errors. This work presents these dense codes as a promising alternative for compressing extensive lists of very large integers, commonly encountered in cryptographic applications.
期刊介绍:
Acta Informatica provides international dissemination of articles on formal methods for the design and analysis of programs, computing systems and information structures, as well as related fields of Theoretical Computer Science such as Automata Theory, Logic in Computer Science, and Algorithmics.
Topics of interest include:
• semantics of programming languages
• models and modeling languages for concurrent, distributed, reactive and mobile systems
• models and modeling languages for timed, hybrid and probabilistic systems
• specification, program analysis and verification
• model checking and theorem proving
• modal, temporal, first- and higher-order logics, and their variants
• constraint logic, SAT/SMT-solving techniques
• theoretical aspects of databases, semi-structured data and finite model theory
• theoretical aspects of artificial intelligence, knowledge representation, description logic
• automata theory, formal languages, term and graph rewriting
• game-based models, synthesis
• type theory, typed calculi
• algebraic, coalgebraic and categorical methods
• formal aspects of performance, dependability and reliability analysis
• foundations of information and network security
• parallel, distributed and randomized algorithms
• design and analysis of algorithms
• foundations of network and communication protocols.