{"title":"量子安全非延展性随机编码器及其应用","authors":"Rishabh Batra;Naresh Goud Boddu;Rahul Jain","doi":"10.1109/TIT.2025.3545283","DOIUrl":null,"url":null,"abstract":"“Non-Malleable Randomness Encoder” (NMRE) was introduced by Kanukurthi et al. (2018) as a useful cryptographic primitive helpful in the construction of non-malleable codes. To the best of our knowledge, their construction is not known to be quantum secure. We provide a construction of a first rate-<inline-formula> <tex-math>$1/2$ </tex-math></inline-formula>, 2-split, quantum secure NMRE and use this in a black-box manner, to construct the following: 1) rate <inline-formula> <tex-math>$1/11$ </tex-math></inline-formula>, 3-split, quantum non-malleable code; 2) rate <inline-formula> <tex-math>$1/3$ </tex-math></inline-formula>, 3-split, quantum secure non-malleable code; and 3) rate <inline-formula> <tex-math>$1/5$ </tex-math></inline-formula>, 2-split, average case quantum secure non-malleable code.","PeriodicalId":13494,"journal":{"name":"IEEE Transactions on Information Theory","volume":"71 4","pages":"2698-2725"},"PeriodicalIF":2.2000,"publicationDate":"2025-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Quantum Secure Non-Malleable Randomness Encoder and Its Applications\",\"authors\":\"Rishabh Batra;Naresh Goud Boddu;Rahul Jain\",\"doi\":\"10.1109/TIT.2025.3545283\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"“Non-Malleable Randomness Encoder” (NMRE) was introduced by Kanukurthi et al. (2018) as a useful cryptographic primitive helpful in the construction of non-malleable codes. To the best of our knowledge, their construction is not known to be quantum secure. We provide a construction of a first rate-<inline-formula> <tex-math>$1/2$ </tex-math></inline-formula>, 2-split, quantum secure NMRE and use this in a black-box manner, to construct the following: 1) rate <inline-formula> <tex-math>$1/11$ </tex-math></inline-formula>, 3-split, quantum non-malleable code; 2) rate <inline-formula> <tex-math>$1/3$ </tex-math></inline-formula>, 3-split, quantum secure non-malleable code; and 3) rate <inline-formula> <tex-math>$1/5$ </tex-math></inline-formula>, 2-split, average case quantum secure non-malleable code.\",\"PeriodicalId\":13494,\"journal\":{\"name\":\"IEEE Transactions on Information Theory\",\"volume\":\"71 4\",\"pages\":\"2698-2725\"},\"PeriodicalIF\":2.2000,\"publicationDate\":\"2025-02-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IEEE Transactions on Information Theory\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://ieeexplore.ieee.org/document/10902636/\",\"RegionNum\":3,\"RegionCategory\":\"计算机科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"COMPUTER SCIENCE, INFORMATION SYSTEMS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Transactions on Information Theory","FirstCategoryId":"94","ListUrlMain":"https://ieeexplore.ieee.org/document/10902636/","RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"COMPUTER SCIENCE, INFORMATION SYSTEMS","Score":null,"Total":0}
Quantum Secure Non-Malleable Randomness Encoder and Its Applications
“Non-Malleable Randomness Encoder” (NMRE) was introduced by Kanukurthi et al. (2018) as a useful cryptographic primitive helpful in the construction of non-malleable codes. To the best of our knowledge, their construction is not known to be quantum secure. We provide a construction of a first rate-$1/2$ , 2-split, quantum secure NMRE and use this in a black-box manner, to construct the following: 1) rate $1/11$ , 3-split, quantum non-malleable code; 2) rate $1/3$ , 3-split, quantum secure non-malleable code; and 3) rate $1/5$ , 2-split, average case quantum secure non-malleable code.
期刊介绍:
The IEEE Transactions on Information Theory is a journal that publishes theoretical and experimental papers concerned with the transmission, processing, and utilization of information. The boundaries of acceptable subject matter are intentionally not sharply delimited. Rather, it is hoped that as the focus of research activity changes, a flexible policy will permit this Transactions to follow suit. Current appropriate topics are best reflected by recent Tables of Contents; they are summarized in the titles of editorial areas that appear on the inside front cover.