Abstract
Two of the important performance indicators for a linear code are the minimum Hamming distance and the weight distribution. This chapter is concerned with methods and tools for producing new codes which are improvements to currently known codes. The chapter discusses and describes several efficient algorithms for computing the minimum distance and weight distribution of linear codes. Several different methods of constructing codes are described and several new codes are presented which are improvements to the codes listed in the database of best-known codes. Methods of combining known codes to produce good codes are also explored in detail. These methods are applied using cyclic codes as components to the new codes and several new binary codes are found as a result.
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