On the distribution of linear codes

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In this paper, we examine the distribution of binary linear codes in the sense of Manin. For this purpose, we introduce the notions of isolated ratius and complete isolatedness. As a typical example, we calculate the isolated radius of the [7, 4, 3]-Hamming code, and show that it is completely isolated. Using the program in the appendix, we also give a list of isolated radii of some binary linear codes.

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