In this paper we construct $ 2 $-PD-sets of $ 16 $ elements for codes from the Desarguesian projective planes $ \mathrm{PG}(2,q) $, where $ q = 2^h $ and $ 5\leq h \leq 9 $. We also construct $ 3 $-PD-sets of $ 75 $ elements for the code from the Desarguesian projective plane $ \mathrm{PG}(2,q) $, where $ q = 2^9 $. These $ 2 $-PD-sets and $ 3 $-PD-sets can be used for partial permutation decoding of codes obtained from the Desarguesian projective planes.

中文翻译：

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\ begin {document} $ s $ \ end {document}-PD集，用于投影平面上的代码 \ begin {document} $ \ mathrm {PG}（2,2 ^ h）$ \ end {document}， \ begin {document} $ 5 \ leq h \ leq 9 $ \ end {document}

在本文中，我们为Desarguesian射影平面$ \ mathrm {PG}（2，q）$的代码构造$ 2 $ -PD-sets $ 16 $元素，其中$ q = 2 ^ h $和$ 5 \ leq h \ leq 9 $。我们还为Desarguesian投影平面$ \ mathrm {PG}（2，q）$中的代码构造了$ 3 $ -PD-sets $ 75 $元素，其中$ q = 2 ^ 9 $。这些$ 2 $ -PD集和$ 3 $ -PD集可用于对从Desarguesian投影平面获得的代码进行部分置换解码。