Matches in SemOpenAlex for { <https://semopenalex.org/work/W2746875103> ?p ?o ?g. }
Showing items 1 to 81 of
81
with 100 items per page.
- W2746875103 abstract "In this paper we study $prodlimits_{i=1}^{n} mathbb{Z}_{2^i}$-Additive Cyclic Codes. These codes are identified as $mathbb{Z}_{2^n}[x]$-submodules of $prodlimits_{i=1}^{n}mathbb{Z}_{2^i}[x]/ langle x^{alpha_i}-1rangle$; $alpha_i$ and $rm{i}$ being relatively prime for each $i=1,2,ldots,n.$ We first define a $prodlimits_{i=1}^{n}mathbb{Z}_{2^i}$-additive cyclic code of a certain length. We then define the distance between two codewords and the minimum distance of such a code. Moreover we relate these to binary codes using the generalized Gray maps. We define the duals of such codes and show that the dual of a $prodlimits_{i=1}^{n}mathbb{Z}_{2^i}$-additive cyclic code is also cyclic. We then give the polynomial definition of a $prodlimits_{i=1}^{n}mathbb{Z}_{2^i}$-additive cyclic code of a certain length. We then determine the structure of such codes and derive a minimal spanning set for that. We also determine the total number of codewords in this code. We finally give an illustrative example of a $prodlimits_{i=1}^{n}mathbb{Z}_{2^i}$-additive cyclic code." @default.
- W2746875103 created "2017-08-31" @default.
- W2746875103 creator A5058432784 @default.
- W2746875103 creator A5062942683 @default.
- W2746875103 date "2017-08-23" @default.
- W2746875103 modified "2023-09-27" @default.
- W2746875103 title "$prodlimits_{i=1}^{n} mathbb{Z}_{2^i}$-Additive Cyclic Codes" @default.
- W2746875103 cites W1555131579 @default.
- W2746875103 cites W1565060721 @default.
- W2746875103 cites W2118912475 @default.
- W2746875103 cites W2121513675 @default.
- W2746875103 cites W2126898771 @default.
- W2746875103 cites W2168674495 @default.
- W2746875103 cites W2560132596 @default.
- W2746875103 cites W2608161480 @default.
- W2746875103 hasPublicationYear "2017" @default.
- W2746875103 type Work @default.
- W2746875103 sameAs 2746875103 @default.
- W2746875103 citedByCount "0" @default.
- W2746875103 crossrefType "posted-content" @default.
- W2746875103 hasAuthorship W2746875103A5058432784 @default.
- W2746875103 hasAuthorship W2746875103A5062942683 @default.
- W2746875103 hasConcept C105313907 @default.
- W2746875103 hasConcept C11413529 @default.
- W2746875103 hasConcept C114614502 @default.
- W2746875103 hasConcept C118615104 @default.
- W2746875103 hasConcept C157125643 @default.
- W2746875103 hasConcept C177264268 @default.
- W2746875103 hasConcept C184992742 @default.
- W2746875103 hasConcept C199360897 @default.
- W2746875103 hasConcept C2096984 @default.
- W2746875103 hasConcept C2400350 @default.
- W2746875103 hasConcept C2776760102 @default.
- W2746875103 hasConcept C33923547 @default.
- W2746875103 hasConcept C41008148 @default.
- W2746875103 hasConcept C48372109 @default.
- W2746875103 hasConcept C57273362 @default.
- W2746875103 hasConcept C94375191 @default.
- W2746875103 hasConceptScore W2746875103C105313907 @default.
- W2746875103 hasConceptScore W2746875103C11413529 @default.
- W2746875103 hasConceptScore W2746875103C114614502 @default.
- W2746875103 hasConceptScore W2746875103C118615104 @default.
- W2746875103 hasConceptScore W2746875103C157125643 @default.
- W2746875103 hasConceptScore W2746875103C177264268 @default.
- W2746875103 hasConceptScore W2746875103C184992742 @default.
- W2746875103 hasConceptScore W2746875103C199360897 @default.
- W2746875103 hasConceptScore W2746875103C2096984 @default.
- W2746875103 hasConceptScore W2746875103C2400350 @default.
- W2746875103 hasConceptScore W2746875103C2776760102 @default.
- W2746875103 hasConceptScore W2746875103C33923547 @default.
- W2746875103 hasConceptScore W2746875103C41008148 @default.
- W2746875103 hasConceptScore W2746875103C48372109 @default.
- W2746875103 hasConceptScore W2746875103C57273362 @default.
- W2746875103 hasConceptScore W2746875103C94375191 @default.
- W2746875103 hasLocation W27468751031 @default.
- W2746875103 hasOpenAccess W2746875103 @default.
- W2746875103 hasPrimaryLocation W27468751031 @default.
- W2746875103 hasRelatedWork W1991815768 @default.
- W2746875103 hasRelatedWork W2143665352 @default.
- W2746875103 hasRelatedWork W2262916366 @default.
- W2746875103 hasRelatedWork W2317616482 @default.
- W2746875103 hasRelatedWork W2766264196 @default.
- W2746875103 hasRelatedWork W2767570234 @default.
- W2746875103 hasRelatedWork W2883411975 @default.
- W2746875103 hasRelatedWork W2902863101 @default.
- W2746875103 hasRelatedWork W2921780681 @default.
- W2746875103 hasRelatedWork W2949837441 @default.
- W2746875103 hasRelatedWork W2951686753 @default.
- W2746875103 hasRelatedWork W2953676339 @default.
- W2746875103 hasRelatedWork W2957384639 @default.
- W2746875103 hasRelatedWork W2964188060 @default.
- W2746875103 hasRelatedWork W2976785461 @default.
- W2746875103 hasRelatedWork W3013131487 @default.
- W2746875103 hasRelatedWork W3104304785 @default.
- W2746875103 hasRelatedWork W3198215848 @default.
- W2746875103 hasRelatedWork W3205332281 @default.
- W2746875103 hasRelatedWork W3118748947 @default.
- W2746875103 isParatext "false" @default.
- W2746875103 isRetracted "false" @default.
- W2746875103 magId "2746875103" @default.
- W2746875103 workType "article" @default.