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Chapter 9: Designs from Primitive BCH Codes
https://doi.org/10.1142/9789813274334_0009Cited by:0 (Source: Crossref)
Abstract:
In this chapter, we first introduce a general theorem about 2-designs from narrow-sense primitive BCH codes and then determine the parameters of 2-designs from some classes of binary primitive BCH codes. It should be noted that the Assmus-Mattson Theorem does not apply to most of the codes in this chapter. We have to use the automorphism group of these codes, in order to prove that they hold designs. The materials presented in this chapter are mainly from Ding and Zhou (2017).
