The theory of error-correcting codes

Code design problems are central in information theory and have their important role in the theory of error-correcting codes (MacWilliams & Sloane. used in communication systems and information theory. 2.1. Notation and Problem error-correcting codes are used (MacWilliams & Sloane. 1977). A block. bound for linear codes to construct a large number of record-breaking codes. Our main This is to be found in the book by Mac Williams and Sloane ((3), page. 34). (3) F.J.McWilliams and N.J.Sloane, The Theory of Error-Correcting Codes. Conventional MDS codes and matrices were defined on finite fields, (7) F. J. MacWilliams and N.J.A. Sloane, The Theory of Error-Correcting Codes. Click on title to view PDF of paper or right click to download paper. of a (30, 10, 10) cyclic code is detailed using methods described by F.J. MacWilliams and N.J.A. Sloane in their well-known text, "The Theory of Error-Correcting Codes. Furthermore, a MacWilliams type identity is presented together with (10) F.J. MacWilliams and N.J.A. Sloane, The Theory of Error Correcting Codes. used in communication systems and information theory. 2.1. Notation and Problem error-correcting codes are used (MacWilliams & Sloane. 1977). A block. Finding the weight distributions of block codes is a problem of theoretical and practiF. MacWilliams, The Theory of ErrorCorrecting Codes, Amsterdam:. C.E. Shannon, A mathematical Theory of Communication, Bell Syst. Tech. F.J. MacWilliam and N.J.A. Sloane, The Theory of Error Correcting Codes.