Linear Feedback Shift Register (LFSR) generates the fault coverage test patterns to compute the target fault of data compression methods. Future Generation wireless communication covers irrespective of complex situation and dense environments marginable throughput to everyone. LFSR widely applied to generate Pseudo Random Noise Sequence, Digital Random Number Generator commonly employed in Cryptography, encoding techniques, Built in Self-Test (BIST) etc. Sequence generated by the LFSR are easily predictable as periodic nature of the sequence. A Modified Pseudo Random Sequence Generator (PRBS) with vertical stacked LFSR (VS-LFSR) is proposed to improve security against predictability nature of PRBS. The primitive polynomial of the nbit LFSR is vertically stacked with top most polynomial and ends with the least polynomial with this flexible of the primitive polynomial are processed and Random sequences are generated. The proposed method generates the random numbers of flexible ranges by appropriately selecting necessity primitive polynomial code in the vertical stack. Compare to conventional LFSR, all zero (0) states also generated in the VS-LFSR, enables the test pattern to have all 2npossible states of n-bit LFSR. With little hardware complexity, periodic pattern of LFSR is further improved with the maximum number of states and result attained maximum number of random outputs as Πn-202n-m - 1.