Linear Codes and Self-Polarity
This work studies projective self-dual (PSD) and self-polar linear codes over finite fields with <i>q</i> elements, where <i>q</i> is a power of a prime. The possible parameters for which PSD codes may exist are presented, and many examples are provided. Algorithms for checki...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2024-11-01
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| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/12/22/3555 |
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| Summary: | This work studies projective self-dual (PSD) and self-polar linear codes over finite fields with <i>q</i> elements, where <i>q</i> is a power of a prime. The possible parameters for which PSD codes may exist are presented, and many examples are provided. Algorithms for checking whether a <i>q</i>-ary linear code is self-polar are described. Many PSD and self-polar codes over fields with two, three, four, and five elements with two and three nonzero weights are constructed. |
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| ISSN: | 2227-7390 |