广泛类别的环切关联方案及其在组合结构构造中的应用

Art Discret. Appl. Math. Pub Date : 2022-01-27 DOI:10.26493/2590-9770.1436.0f3

Luis Martínez, María Asunción García, Leire Legarreta, I. Malaina

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引用次数: 1

摘要

2010年，G. Fernández, R. Kwashira和L. Mart ' ınez在a =∏n i=1 Fqi上给出了一个新的环切割术，其中Fqi是一个具有气元素的有限域。他们在这个积环a的单位群中定义了一个子群H，它的商是环的。子群在A的加性群上对应的乘法作用的轨道有两种类型:•A的单位群在子群H上的商的环切旁集。

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Cyclotomic association schemes of broad classes and applications to the construction of combinatorial structures

In 2010, G. Fernández, R. Kwashira and L. Mart́ınez gave a new cyclotomy on A = ∏n i=1 Fqi , where Fqi is a finite field with qi elements. They defined a certain subgroup H of the group of units of this product ring A for which the quotient is cyclic. The orbits of the corresponding multiplicative action of the subgroup on the additive group of A are of two types: • The cyclotomic cosets of the quotient of the group of units of A over the subgroup H.

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Art Discret. Appl. Math.

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