{"title":"Welch-Berlekamp算法与模逼近算法的等价性","authors":"Chao Chen, Nianqi Tang, Y. Han, B. Bai","doi":"10.1109/ICCCWorkshops57813.2023.10233747","DOIUrl":null,"url":null,"abstract":"The Welch-Berlekamp (WB) algorithm and the modular approach (MA) algorithm are two distinct algorithms that solve the same rational interpolation problem behind the Reed-Solomon decoding. The MA algorithm is more suitable for hardware implementation due to its parallel structure. Even though both algorithms look different, this paper establishes the equivalence between them.","PeriodicalId":201450,"journal":{"name":"2023 IEEE/CIC International Conference on Communications in China (ICCC Workshops)","volume":"319 9","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the Equivalence between the Welch–Berlekamp Algorithm and the Modular Approach Algorithm\",\"authors\":\"Chao Chen, Nianqi Tang, Y. Han, B. Bai\",\"doi\":\"10.1109/ICCCWorkshops57813.2023.10233747\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The Welch-Berlekamp (WB) algorithm and the modular approach (MA) algorithm are two distinct algorithms that solve the same rational interpolation problem behind the Reed-Solomon decoding. The MA algorithm is more suitable for hardware implementation due to its parallel structure. Even though both algorithms look different, this paper establishes the equivalence between them.\",\"PeriodicalId\":201450,\"journal\":{\"name\":\"2023 IEEE/CIC International Conference on Communications in China (ICCC Workshops)\",\"volume\":\"319 9\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-08-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2023 IEEE/CIC International Conference on Communications in China (ICCC Workshops)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICCCWorkshops57813.2023.10233747\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2023 IEEE/CIC International Conference on Communications in China (ICCC Workshops)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICCCWorkshops57813.2023.10233747","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the Equivalence between the Welch–Berlekamp Algorithm and the Modular Approach Algorithm
The Welch-Berlekamp (WB) algorithm and the modular approach (MA) algorithm are two distinct algorithms that solve the same rational interpolation problem behind the Reed-Solomon decoding. The MA algorithm is more suitable for hardware implementation due to its parallel structure. Even though both algorithms look different, this paper establishes the equivalence between them.