A Simple Element Inverse Jacket Transform Coding

Jacket transforms are a class of transforms that are simple to calculate, easily inverted, and size-flexible. Previously reported jacket transforms were generalizations of the well-known Walsh-Hadamard transform (WHT) and the center-weighted Hadamard transform (CWHT). In this letter, we present a new class of jacket transform not derived from either the WHT or the CWHT. This class of transform can be applied to any even length vector, is applicable to finite fields, and is useful for constructing error control codes