关于拟正交上圈
On quasi-orthogonal cocycles
摘要：
引入了拟正交上圈的概念。这部分地是由正方形$\{\pm 1\}$的最大行列式问题所激发的-矩阵的大小等于$2$模$4$。拟正交上循环类似于代数设计理论中的正交上循环。与新的和已知的组合对象提供了这种类比，如拟Hadamard组，相对拟差集，和某些部分平衡不完全区组设计的等价性，被证明。
英文摘要：
We introduce the notion of quasi-orthogonal cocycle. This is motivated in part by the maximal determinant problem for square $\{\pm 1\}$-matrices of size congruent to $2$ modulo $4$. Quasi-orthogonal cocycles are analogous to the orthogonal cocycles of algebraic design theory. Equivalences with new and known combinatorial objects afforded by this analogy, such as quasi-Hadamard groups, relative quasi-difference sets, and certain partially balanced incomplete block designs, are proved.
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