International Journal of Innovative Research in Electrical, Electronics, Instrumentation and Control Engineering (IJIREEICE)
Finite field multipliers over GF (2m) have widely as error control coding in digital communication and storage system. Multiplication in polynomial basis offer higher scalability and does not require a basis conversion. Efficient hardware design for polynomial-based multiplication is therefore important for real-time applications. All-One Polynomial (AOP) is one of the classes of polynomials considered suitable to be used as irreducible polynomial for efficient implementation of finite field multiplication. For the bit parallel systolic architecture, the number of gates can drastically reduced by selecting special irreducible polynomial.