Web Reference: Aug 1, 2010 ยท The history of cyclic codes as shift register codes and the mathematical structure theory of cyclic codes both suggest the study of cyclic invariance in the context of linear codes. Aug 1, 2023 ยท In this paper, we study the extended codes of the augmented codes of a class of binary cyclic codes with three zeros and their dual codes, and show that those codes hold 3-designs. Binary Cyclic codes was first studied by Prange in 1957. Cyclic codes form an important subclass of linear codes.
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Last Updated: April 10, 2026
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