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It has been well-known that the class of quasi-cyclic (QC) codes contain many good codes. In this paper, a method to conduct a computer search for binary 2-generator QC codes is presented, and a large number of good 2-generator QC codes have been obtained. 5 new binary QC codes that improve the lower bounds on minimum distance are presented. Furthermore, with new 2-generator QC codes and Construction X, 2 new improved binary linear codes are obtained. With the standard construction techniques, another 16 new binary linear codes that improve the lower bound on the minimum distance have also been obtained. 2010 MSC: 94B05, 94B65

Some new binary codes with improved minimum distances