It is shown that a Boolean combining function f(x) of n variables is mth-order correlation immune if and only if its Walsh transform F(w) vanishes for all w with Hamming weights between 1 and m, inclusive. This result is used to extend slightly Siegenthaler’s characterization of the algebraic normal form of correlation-immune combining functions.

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<span style="color: #000000; font-family: Tahoma, sans-serif; font-size: 13px; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: auto; text-align: -webkit-left; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-stroke-width: 0px; display: inline !important; float: none; ba...

A simple but novel and applicable approach is proposed to solve the problem of smoothing effect of ordinary kriging estimate which is widely used in mining and earth sciences. It is based on transformation equation in which Z scores are derived from ordinary kriging estimates and then rescaled by the standard deviation of sample data and the sample mean is added to the result. It bears the grea...