Exploring Fields with Shift Registers
Abstract
The S-Boxes used in the AES algorithm are generated by field extensions of the Galois field over two elements, called GF(2). Therefore, understanding the field extensions provides a method of analysis, potentially efficient implementation, and efficient attacks. Different polynomials can be used to generate the fields, and we explore the set of polynomials x to the 2nd power + x + a to the j power over GF(2 to the nth power) where alpha is a primitive element of GF(2 to the nth power).
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 2006
- Accession Number
- ADA457383
Entities
People
- Jody L. Radowicz
Organizations
- Naval Postgraduate School