Z2Z4-ADDITIVE CYCLIC CODES
Z_2 Z_4-additive codes is a family of linear codes, which introduced by Joaquim Borges, Christina Fernández-Córdoba, Jaume Pujol, Joseph Rifà dan Mercè Villanueva in 2009. Meanwhile, a Z_2 Z_4-additive cyclic codes is a Z_2 Z_4-additive codes with the property that for every codewords in Z_2 Z_4-add...
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id-itb.:443002019-10-09T09:15:43ZZ2Z4-ADDITIVE CYCLIC CODES Ariella Mustika, Felita Indonesia Final Project Coding Theory, Linear Codes, Additive Codes, Cyclic Codes, Linear Codes over Z_2 Z_4, Z_2 Z_4-Additive Codes, Z_2 Z_4-Additive Cyclic Codes INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/44300 Z_2 Z_4-additive codes is a family of linear codes, which introduced by Joaquim Borges, Christina Fernández-Córdoba, Jaume Pujol, Joseph Rifà dan Mercè Villanueva in 2009. Meanwhile, a Z_2 Z_4-additive cyclic codes is a Z_2 Z_4-additive codes with the property that for every codewords in Z_2 Z_4-additive cyclic codes, then it’s cyclic shift is also a codeword in Z_2 Z_4-additive cyclic codes. This final project will discuss the structure of Z_2 Z_4-additive cyclic codes in detailed. Then, the methods to construct Z_2 Z_4-additive cyclic codes will also be consideres. As an original result, some previously unknown optimal additive cyclic codes, were found and listed here. text |
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Indonesia Indonesia |
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Indonesia |
| description |
Z_2 Z_4-additive codes is a family of linear codes, which introduced by Joaquim Borges, Christina Fernández-Córdoba, Jaume Pujol, Joseph Rifà dan Mercè Villanueva in 2009. Meanwhile, a Z_2 Z_4-additive cyclic codes is a Z_2 Z_4-additive codes with the property that for every codewords in Z_2 Z_4-additive cyclic codes, then it’s cyclic shift is also a codeword in Z_2 Z_4-additive cyclic codes. This final project will discuss the structure of Z_2 Z_4-additive cyclic codes in detailed. Then, the methods to construct Z_2 Z_4-additive cyclic codes will also be consideres. As an original result, some previously unknown optimal additive cyclic codes, were found and listed here. |
| format |
Final Project |
| author |
Ariella Mustika, Felita |
| spellingShingle |
Ariella Mustika, Felita Z2Z4-ADDITIVE CYCLIC CODES |
| author_facet |
Ariella Mustika, Felita |
| author_sort |
Ariella Mustika, Felita |
| title |
Z2Z4-ADDITIVE CYCLIC CODES |
| title_short |
Z2Z4-ADDITIVE CYCLIC CODES |
| title_full |
Z2Z4-ADDITIVE CYCLIC CODES |
| title_fullStr |
Z2Z4-ADDITIVE CYCLIC CODES |
| title_full_unstemmed |
Z2Z4-ADDITIVE CYCLIC CODES |
| title_sort |
z2z4-additive cyclic codes |
| url |
https://digilib.itb.ac.id/gdl/view/44300 |
| _version_ |
1822270636197675008 |