On the cycle index and the weight enumerator II

التفاصيل البيبلوغرافية
العنوان: On the cycle index and the weight enumerator II
المؤلفون: Chakraborty, Himadri Shekhar, Miezaki, Tsuyoshi, Oura, Manabu
سنة النشر: 2020
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Combinatorics, Mathematics - Group Theory, Mathematics - Number Theory, Primary 11T71, Secondary 20B05, 11H71
الوصف: In a previous paper, the second and third named author introduced the concept of the complete cycle index and discussed a relation with the complete weight enumerator in coding theory. In the present paper, we introduce the concept of the complete joint cycle index and the average complete joint cycle index, and discuss a relation with the complete joint weight enumerator and the average complete joint weight enumerator respectively in coding theory. Moreover, the notion of the average intersection numbers is given, and we discuss a relation with the average intersection numbers in coding theory.
Comment: 24 pages
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2008.00654
رقم الأكسشن: edsarx.2008.00654
قاعدة البيانات: arXiv