Abstract

We develop a technique for improving the universal linear programming bounds (ULPB) on the cardinality and the minimum distance of codes in infinite projective spaces FPn/sup -1/ (F=R,C,H). We introduce test functions P/sub j/(FP/sup n-1/,/spl rho/) having the property that P/sub j/(FP/sup n-1/,/spl rho/)<0 for some j if and only if the corresponding ULPB can be further improved by linear programming.

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