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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| Format: | Final Project |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/44300 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | 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. |
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