Linear Codes from Two Weakly Regular Plateaued Balanced Functions
| العنوان: | Linear Codes from Two Weakly Regular Plateaued Balanced Functions |
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| المؤلفون: | Shudi Yang, Tonghui Zhang, Ping Li |
| المصدر: | Entropy Volume 25 Issue 2 Pages: 369 |
| بيانات النشر: | MDPI AG, 2023. |
| سنة النشر: | 2023 |
| مصطلحات موضوعية: | plateaued balanced function, General Physics and Astronomy, linear code, Walsh transform, weight distribution |
| الوصف: | Linear codes with a few weights have been extensively studied due to their wide applications in secret sharing schemes, strongly regular graphs, association schemes, and authentication codes. In this paper, we choose the defining sets from two distinct weakly regular plateaued balanced functions, based on a generic construction of linear codes. Then we construct a family of linear codes with at most five nonzero weights. Their minimality is also examined and the result shows that our codes are helpful in secret sharing schemes. |
| وصف الملف: | application/pdf |
| تدمد: | 1099-4300 |
| الوصول الحر: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0e12d7953ccc856812dae37f0461669aTest https://doi.org/10.3390/e25020369Test |
| حقوق: | OPEN |
| رقم الانضمام: | edsair.doi.dedup.....0e12d7953ccc856812dae37f0461669a |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 10994300 |
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