تقرير
Jacobi polynomials and design theory I
| العنوان: | Jacobi polynomials and design theory I |
|---|---|
| المؤلفون: | Chakraborty, Himadri Shekhar, Miezaki, Tsuyoshi, Oura, Manabu, Tanaka, Yuuho |
| سنة النشر: | 2022 |
| المجموعة: | Computer Science Mathematics Statistics |
| مصطلحات موضوعية: | Mathematics - Combinatorics, Computer Science - Information Theory, Mathematics - Group Theory, Mathematics - Statistics Theory, Primary 11T71, Secondary 94B05, 11F11 |
| الوصف: | In this paper, we introduce the notion of Jacobi polynomials with multiple reference vectors of a code, and give the MacWilliams type identity for it. Moreover, we derive a formula to obtain the Jacobi polynomials using the Aronhold polarization operator. Finally, we describe some facts obtained from Type III and Type IV codes that interpret the relation between the Jacobi polynomials and designs. Comment: 23 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2207.10911 |
| رقم الأكسشن: | edsarx.2207.10911 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |