Optimal

Applicable Algebra in Engineering, Communication and Computing(2021)

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Abstract
As a subclass of linear codes, cyclic codes have efficient encoding and decoding algorithms, so they are widely used in many areas such as consumer electronics, data storage systems and communication systems. In this paper, we give a general construction of optimal p -ary cyclic codes which leads to three explicit constructions. In addition, another class of p -ary optimal cyclic codes are presented.
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Key words
Cyclic code,optimal code,Sphere packing bound,94B15,11T71
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