This paper presents a new scheme of Linear-Feedback Shift-Register (LFSR) reseeding technique based on Berlekamp-Massey Algorithm (BMA). It is proposed an LFSR-based TPG which its feedback polynomial is programmable by a BMA-synthesized LFSR that, in its turn, generates specific patterns to change the LFSR-based TPG's feedback polynomial. Using the proposed method, high fault coverage is achieved with a small number of test patterns. Experimental results have been shown the effectively of the proposed method.