• ALGORITHMS ON FINITE NEAR-FIELD SPACES AND N-SUB NEAR-FIELD SPACES

Abstract

In this note, we present algorithms to deal with finite near-filed spaces, the appropriate algebraic structure to study non-linear functions on finite sub near-field spaces. Just as finite near-fields of matrices operate on vector spaces, finite near-filed spaces operate on finite sub near-field spaces. In our approach, we have developed efficient algorithms for a variety of problems that involve the structure of the operation of a near-field space on a sub near-field space. From this, we retrieve information about the near-filed space itself