We study [2m−1, 2m]-binary linear codes whose weights lie between w0 and 2m−w0, where w0 takes the highest possible value. Primitive cyclic codes with two zeros whose dual satisfies this property actually correspond to almost bent power functions and to pairs of maximum-length sequences with preferred crosscorrelation. We prove that, for odd m, these codes are completely characterized by their ...

The asymptotic behaviour of an estimator of multiinformation is investigated. It is shown that it qualitatively depends on the value of certain numerical characteristic. If this characteristic is non-zero then the estimator is asymptotically normally distributed. In the opposite case the asymptotic distribution of the estimator is the distribution of a weighted sum of squares of independent nor...