二次型与$p$元弱正则Bent函数的偏差集
Partial difference sets from quadratic forms and $p$-ary weakly regular bent functions
摘要：
我们用两种不同的方法推广了仿射极图的构造，得到了新的部分差集和无定形结合方案。第一个推广使用的组合二次型和均匀割圆。在第二个推广中，我们用具有$p$ -ary弱正则弯曲的高次齐次函数代替仿射极图构造中的二次型。由第一个推广得到的负拉丁方型偏差集是新的.
英文摘要：
We generalize the construction of affine polar graphs in two different ways to obtain new partial difference sets and amorphic association schemes. The first generalization uses a combination of quadratic forms and uniform cyclotomy. In the second generalization we replace the quadratic form in the affine polar graph construction by higher degree homogeneous functions that are $p$-ary weakly regular bent. The negative Latin square type partial difference sets arising from the first generalization are new.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
