A new asymptotic expression for the Fredholm determinant is derived for stationary separable covariance functions. Solutions are given for the cases of known state-variable model and known separable covariance. The expression is obtained from the solution of a Riccati equation.

In this correspondence additional results on majority-logic decoding of product codes are presented. If one of the component codes is decodable using Rudolph's nonorthogonal algorithm, and the other using Reed-Massey'sL-step orthogonalization, then the resulting product code is majority-logic decodable inLsteps, where nonorthogonal checks are used in the first step and orthogonal checks in the remaining steps. If the component codes are both decodable using Rudolph's algorithm, the product code is majority-logic decodable using the same procedure.