Multi-dimensional galois field multiplier
US6760742B1 · kind B1 · utility
Assignee
Inventor
Key dates
| Filing date | Feb 18, 2000 |
| Grant date | Jul 6, 2004 |
| Priority date | — |
| Expiry date | Feb 18, 2020 |
Classification
- Technology area (CPC H)Electricity
- CPC primaryH03M13/158
- WIPO fieldBasic communication processes
- WIPO sectorElectrical engineering
Abstract
An implementation of a multi-dimensional Galois field multiplier and a method of Galois field multi-dimensional multiplication which are able to support many communication standards having various symbol sizes, different GFs, and different primitive polynomials, in a cost-efficient manner is disclosed. The key to allow a single implementation to perform for all different GF sizes is to align the input data such that the Galois field symbols of the operands are aligned to the left most significant bit (MSB) position of the input data field. Similarly, the primitive polynomial used to create a selected Galois field is aligned to the left MSB position. A polynomial multiply is performed. The product polynomial is then conditionally divided by the primitive polynomial starting with the most significant bit, the condition being if the left most bit of the product is a 1. In other words, if the product polynomial has an MSB of 1, then divide the product with the primitive polynomial. Perform this step until the MSB is 0. In addition, for fields smaller than a maximum size Galois field, the sequence of conditional divisions is further conditioned with a predetermined mask in dependence up…
Source: USPTO / EPO open patent data. Objective bibliographic and citation counts.