Some results on free Euclidean self-dual codes over F2+vF2
In thispaper, free Euclidean self-dual codes over the ring F2+ v F2 with v2=vof order 4 are considered. A necessary andsufficient condition for the form of the generator matrix of a free Euclideanself-dual code is given. By using the distance preserving Gray map fromF2+ v F2to F2xF2,the generator ma...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Sakarya University
2019-12-01
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| Series: | Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/tr/download/article-file/793006 |
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| Summary: | In thispaper, free Euclidean self-dual codes over the ring F2+ v F2 with v2=vof order 4 are considered. A necessary andsufficient condition for the form of the generator matrix of a free Euclideanself-dual code is given. By using the distance preserving Gray map fromF2+ v F2to F2xF2,the generator matrix of the binary code which corresponds the code over theringF2+ v F2is obtained. The codes of lengths up to 100 overthe ringF2+ v F2arefound. |
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| ISSN: | 2147-835X |