Patent ID: 8577026
Filing Date: 2013-11-05
Classification: H03M,H04L

Abstract:
1. An apparatus for encoding a first plurality of n-state symbols with n equal to or greater than 3, each symbol being represented by a signal, comprising: an input of a device enabled to receive the first plurality of n-state symbols; the device enabled for processing the first plurality of n-state symbols by implementing an addition and a multiplication over an alternate finite field GF(n), wherein the alternate finite field GF(n) is a finite field defined by the addition, the multiplication, and a zero element of the finite field; wherein the zero element of the alternate finite field GF(n) is a neutral element of the addition and is not 0; wherein the apparatus is part of a communication system or a data storage system and an output enabled to provide a second plurality of symbols as a result of the processing.