Investigation of some quite interesting divisibility situations in a signature analyzer implementation

When designing error detecting and correcting systems, cryptographic apparatus, scramblers and other secure, safe and authenticated communication and digital system response data compression devices, the division of polynomials are frequently involved. Commonly, the process of division is implemented by using hardware known as Linear Feedback Shift Registers (LFSRs). In digital system testing the technique of Built-In Self Test (BIST) uses this LFSR based division process for response data compression and is popularly known as Signature Analyzer (SA). This paper presents a simulation experiment on the effectiveness study of the SA schemes. The finding of the results of the simulation study reveals that in SA implementation; in general the uses of primitive characteristic polynomials are the best. However, the study further investigates that the use of some critical primitive characteristic polynomials may reverse the effectiveness of the SA schemes i.e. lead to observe maximum aliasing errors.