Binary Generalized Anti-Code and Optimal LCD Code
LI Ruihu
FU Qiang
SONG Hao
LIU Yang
Abstract：Based on the defining vector of binary linear code,new concept of generalized anti-code of a giv-en 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 op-timal 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.
Keywords：generalized anti-codeLCD codedefining vectoroptimal code
Publication Date：2024-02-25
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：5( 123-127 )