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This paper presents measurements of K-0 and Lambda production in neutral current, deep inelastic scattering of 26.7 GeV electrons and 820 GeV protons in the kinematic range 10 < Q(2) < 640 GeV2, 0.0003 < x < 0.01, and y > 0.04. Average multiplicities for K-0 and Lambda production are determined for transverse momenta p(T) > 0.5 GeV and pseudorapidities \eta\ < 1.3. The multiplicities favour a stronger strange to light quark suppression in the fragmentation chain than found in e(+)e(-) experiments. The production properties of K-0's in events with and without a large rapidity gap with respect to the proton direction are compared. The ratio of neutral K-0's to charged particles per event in the measured kinematic range is, within the present statistics, the same in both samples.

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