Published January 1, 2018 | Version v1
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A link between combinatorial designs and three-weight linear codes

Creators

  • 1. Ankara Univ, Dept Math, Fac Sci, TR-06100 Ankara, Turkey

Description

In this paper, we show that partial geometric designs can be constructed from certain three-weight linear codes, almost bent functions and ternary weakly regular bent functions. In particular, we show that existence of a family of partial geometric difference sets is equivalent to existence of a certain family of three-weight linear codes. We also provide a link between ternary weakly regular bent functions, three-weight linear codes and partial geometric difference sets.

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