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Binary Generalized Anti-Code and Optimal LCD Code
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O157.4

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    Abstract:

    Based on the defining vector of binary linear code, new concept of generalized anti-code of a given code is introduced into this paper, and the defining vector of a generalized anti-code is described by the given code. The parameters of a generalized anti-code are utilized for determining corresponding binary optimal code. It is proved that 11 classes of binary optimal codes are not LCD codes. And such method breaks through the limitations of the current methods, and provides a new theory and a new method for study of LCD parameters determination and structure.

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  • Online: February 20,2024
  • Published: February 25,2024
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