Computer Science Technical Reports
http://hdl.handle.net/2104/4824
2014-03-28T02:32:00ZMatrix Representations of GF(p[superscript n]) over GF(p)
http://hdl.handle.net/2104/8928
Matrix Representations of GF(p[superscript n]) over GF(p)
Maurer, Peter M.
We show that any non-singular nxn matrix of order p[superscript n]-1 over GF(p) is a generator of a matrix representation of GF(p[superscript n]). We also determine the number of matrix representations of GF(p[superscript n])GF(p) over GF(p), and then number of order p[superscript n]-1 matrices in the general linear group of degree n over GF(p). The theorems are easily generalizable to arbitrary field extensions.
2014-01-31T00:00:00ZFields and Cyclic Codes for Error Detection
http://hdl.handle.net/2104/8894
Fields and Cyclic Codes for Error Detection
Hess, Rachel N.
This technical report discusses some of the aspects of error detection using finite fields.
2014-01-14T00:00:00ZThe Conjugacy Classes of 3x3 and 4x4 Matrices Over GF(2)
http://hdl.handle.net/2104/8806
The Conjugacy Classes of 3x3 and 4x4 Matrices Over GF(2)
Maurer, Peter M.
The general linear groups over GF(2) have an intricate and interesting structure. This report does some preliminary work in examining the structure of two of these groups by giving the conjugacy classes of 3x3 and 4x4 matrices over GF(2).
2013-09-20T00:00:00ZThe Class 10 4x4 Faithful Representations of S4 over GF(2)
http://hdl.handle.net/2104/8805
The Class 10 4x4 Faithful Representations of S4 over GF(2)
Maurer, Peter M.
There are 9 conjugacy classes of faithful representations of S4 in the general linear group of 4x4 matrices over GF(2). This report lists the representations belonging to class 10. (There is no class 6, so the classes are numbered 1, 2, 3, 4, 5, 7, 8, 9, and 10.)
2013-09-20T00:00:00Z