Search techniques are integral part for text authentication and plagiarism checks. In this work, our aim is to develop an efficient search algorithm for Arabic texts in a big database. The database contains the authentic source of information where information is ordered; thus the efficient algorithm can be used for searching the texts. Our search algorithm uses a quasi-Newton method -Secant method instead of traditional binary search. The secant method has much faster convergence property than the binary search and hence the algorithm can find the specific texts in a shorter time period