{"title":"用高斯-乔丹法计算GF(73)的非零多项式的乘法逆。","authors":"Dilshad Akhtar et al.","doi":"10.52783/cienceng.v11i1.260","DOIUrl":null,"url":null,"abstract":"The present manuscript deals with the derivation of multiplicative inverses of all non-zero elemental polynomials of the Galois field with respect to the monic irreducible polynomials of degree 3 over the prime field by Gauss-Jordan method as the Extended Euclidean Algorithm (EEA) is not always successful over the prime field , when prime .","PeriodicalId":214525,"journal":{"name":"Proceeding International Conference on Science and Engineering","volume":"299 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Computation of Multiplicative Inverses of non-zero Polynomials of GF(73) by Gauss-Jordan method.\",\"authors\":\"Dilshad Akhtar et al.\",\"doi\":\"10.52783/cienceng.v11i1.260\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The present manuscript deals with the derivation of multiplicative inverses of all non-zero elemental polynomials of the Galois field with respect to the monic irreducible polynomials of degree 3 over the prime field by Gauss-Jordan method as the Extended Euclidean Algorithm (EEA) is not always successful over the prime field , when prime .\",\"PeriodicalId\":214525,\"journal\":{\"name\":\"Proceeding International Conference on Science and Engineering\",\"volume\":\"299 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-02-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceeding International Conference on Science and Engineering\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.52783/cienceng.v11i1.260\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceeding International Conference on Science and Engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.52783/cienceng.v11i1.260","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Computation of Multiplicative Inverses of non-zero Polynomials of GF(73) by Gauss-Jordan method.
The present manuscript deals with the derivation of multiplicative inverses of all non-zero elemental polynomials of the Galois field with respect to the monic irreducible polynomials of degree 3 over the prime field by Gauss-Jordan method as the Extended Euclidean Algorithm (EEA) is not always successful over the prime field , when prime .