Voloch, Jose FelipeHelleloid, Geir T.2010-06-042017-05-112010-06-042017-05-112009-08August 200http://hdl.handle.net/2152/ETD-UT-2009-08-189textThis report is a survey of self-dual binary codes. We present the fundamental MacWilliams identity and Gleason’s theorem on self-dual binary codes. We also examine the upper bound of minimum weights of self-dual binary codes using the extremal weight enumerator formula. We describe the shadow code of a self-dual code and the restrictions of the weight enumerator of the shadow code. Then using the restrictions, we calculate the weight enumerators of self-dual codes of length 38 and 40 and we obtain the known weight enumerators of this lengths. Finally, we investigate the Gaborit-Otmani experimental construction of selfdual binary codes. This construction involves a fixed orthogonal matrix, and we compare the result to the results obtained using other orthogonal matrices.application/pdfengSelf-Dual CodesWeight EnumeratorMacWilliams IdentityGleason's Theorem on Self-Dual CodesMinimum Distancethesis