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cs.IT2026
DS and AMDS Symbol-Pair Codes from Three Families of Simple Root Cyclic Codes
Jiawei He, Zihan Zhang, Xiaoqiang Wang +1
Symbol-pair distances of simple-root cyclic codes are important for evaluating error correction performance under overlapping pair read channels. In this paper, we construct three…
cs.IT2026
Solutions to Three Conjectures and an Open Problem on Binary BCH Codes
Xiaoqiang Wang, Jiawei He, Boru Yi +1
BCH codes are among the most important classes of cyclic codes and have played a central role in coding theory and its applications. One of the fundamental problems in the study of…
cs.IT2026
Four constructions of self-dual binary cyclic codes with a lower bound on the minimum distances better than the square-root bound
Xiaoqiang Wang, Xun Song, Dabin Zheng +2
In spite of the intensive study of cyclic codes and the recent construction of an infinite family of self-dual binary cyclic codes whose minimum distances have the square-root boun…