Two-weight and three-weight linear codes constructed from Weil sums
| العنوان: | Two-weight and three-weight linear codes constructed from Weil sums |
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| المؤلفون: | Tonghui Zhang, Hong Lu, Shudi Yang |
| المصدر: | Mathematical Foundations of Computing. 5:129 |
| بيانات النشر: | American Institute of Mathematical Sciences (AIMS), 2022. |
| سنة النشر: | 2022 |
| مصطلحات موضوعية: | Computational Mathematics, Computational Theory and Mathematics, Artificial Intelligence, Theoretical Computer Science |
| الوصف: | Linear codes with few weights are widely used in strongly regular graphs, secret sharing schemes, association schemes and authentication codes. In this paper, we construct several two-weight and three-weight linear codes over finite fields by choosing suitable different defining sets. We also give some examples and some of the codes are optimal or almost optimal. Their applications to secret sharing schemes are also investigated. |
| تدمد: | 2577-8838 |
| الوصول الحر: | https://explore.openaire.eu/search/publication?articleId=doi_________::9a8584e44f8e6c7b47ec950f6d57f02bTest https://doi.org/10.3934/mfc.2021041Test |
| حقوق: | OPEN |
| رقم الانضمام: | edsair.doi...........9a8584e44f8e6c7b47ec950f6d57f02b |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 25778838 |
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