GENERAL THEORY OF MOST EFFICIENT CODES.
ILLINOIS UNIV URBANA DIGITAL COMPUTER LAB
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In this paper, the number of most efficient binary codes and the construction methods are discussed in general, where the most efficient binary codes mean codes with a minimum Hamming distance of p. The purpose of the paper was to obtain maximum m and the value of each x sub ij. Discussed are 1 A theorem which plays an important role in the coding problem 2 The matrix Hn, p 3 The characteristic values of Hn, p 4 Some properties of the independence of vectors 5 A solution under some conditions group code condition implies these conditions accordingly, group code is a special case of these conditions 6 One method of general solution and 7 Application of Boolean algebra in finding a general solution.