AFFINE 3-NONSYSTEMATIC PERFECT CODES OF LENGTH 15
A perfect binary code C of length n = 2 <sup>k</sup> - 1 is called affine 3-systematic if there exists a 3-dimensional subspace L in the space {0,1} <sup>n</sup> such that the intersection of any of its cosets L + u with C is either empty, or a singleton. Otherwise, the code C is called affine 3-nonsystematic. In the paper, we construct four nonequivalent affine 3-nonsystematic codes of length 15.