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Due to their important applications to coding theory, cryptography, communications and statistics, combinatorial t-designs have been attracted lots of research interest for decades. The interplay between coding theory and t-designs has on going for many years. As we all known, t-designs can be used to derive linear codes over any finite field, as well as the supports of all codewords with a fixed weight in a code also may hold a t-design. In this paper, we first construct a class of lineararXiv:1912.07531v1 fatcat:hac5upqowvggrkj37fcnyvbxiu