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cs.IT2025
Duality of Codes over Non-unital Rings of Order Six
Altaf Alshuhail, Rowena Alma Betty, Lucky Galvez
We present some basic theory on the duality of codes over two non-unital rings of order , namely and . For a code over these rings, we associate a…
cs.IT2019
Projection decoding of some binary optimal linear codes of lengths 36 and 40
Lucky Galvez, Jon-Lark Kim
Practically good error-correcting codes should have good parameters and efficient decoding algorithms. Some algebraically defined good codes such as cyclic codes, Reed-Solomon code…
cs.IT2017★ 4 cited
Some Bounds on Binary LCD Codes
Lucky Galvez, Jon-Lark Kim, Nari Lee +2
A linear code with a complementary dual (or LCD code) is defined to be a linear code whose dual code satisfies = . Le…