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cs.IT2026
Optimal Codes with Positive Griesmer Defects, Related Optimal and Almost Optimal LRC Codes
Yurui Wang, Hao Chen, Xia Wu
Solomon and Stiffler constructed infinitely many families of linear codes meeting the Griesmer bound in 1965. It is well-known in 1990's that certain Griesmer codes (codes with the…
cs.IT2026
On the Minimum Distances of Some Families of Goppa Codes and BCH Codes
Yaqi Chen, Hao Chen, Cunsheng Ding +1
Goppa codes form an important class of alternant codes with wide applications in algebraic coding theory and code-based cryptography. Determining the true minimum distance of a Gop…