Developments in Nonlinear Codes and Distance Preserving Maps
Date of Graduation
Master of Science in Mathematics
Linear codes are generally easier to construct and correct errors than nonlinear codes. However, for some parameters nonlinear binary codes are more efficient than any linear binary code. Some of these codes can be constructed as linear codes in higher powers of two and then converted to binary codes by a distance preserving map. The purpose of this paper is to analyze the properties and necessary conditions of distance preserving maps in order to construct the most efficient maps.
© John Elliott
Elliott, John, "Developments in Nonlinear Codes and Distance Preserving Maps" (2002). MSU Graduate Theses. 856.