Efficient way to produce a delayed version of a maximum length sequence using a division circuit

摘要

Method and apparatus for efficiently producing a delayed version of a maximum length sequence output from a linear feedback shift register. Polynomial (vector) exponentiation is performed instead of matrix exponentiation to calculate the mask coefficients which yield the delayed sequence from the linear feedback shift register. Polynomial (vector) operations are much simpler and faster than the corresponding matrix operations and require substantially less circuitry and computational effort. Modulo exponentiation of polynomials is done by repeated squaring and shifting, and a division circuit built on a linear feedback shift register is provided to perform an efficient modulo squaring of polynomials.