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Testing chips is very critical to guarantee chips are fault-free before they are integrated in a system, so as to increase the reliability of the system. Although full-scan is a widely adopted design-for-test technique for LSI design and testing, the need for reducing the test data volume, scan-in power dissipation and test application time (VPT) of the full-scan designed chip is imperative. Based on the analysis of the characteristics of the variable-to-fixed run-length coding technique and the random access scan architecture, this paper presents a novel design scheme tackling all VPT issues simultaneously. Experimental results on ISCAS'89 benchmarks have shown on average 51.2%, 99.5%, 99.3% and 85.5% reduction in test data volume, average scan-in power dissipation, peak scan-in power dissipation and test application time, respectively.