Hsu, F.-L.; Hummer, F. A.; Smith, J. D. H. Logarithms, syndrome functions, and the information rates of greedy loop transversal codes. (English) Zbl 0868.94044 J. Comb. Math. Comb. Comput. 22, 33-49 (1996). Summary: The paper studies linear block codes and syndrome functions built by the greedy loop transversal algorithm. The syndrome functions in the binary white-noise case are generalizations of the logarithm, with curious fractal properties. The codes in the binary white-noise case coincide with lexicodes: their dimensions are listed for channel lengths up to the sixties, and up to the three hundreds for double errors. In the ternary double-error case, record-breaking codes of lengths 43 to 68 are constructed. Cited in 1 ReviewCited in 1 Document MSC: 94B05 Linear codes (general theory) 20N05 Loops, quasigroups Keywords:syndrome functions; greedy loop transversal algorithm; lexicodes PDFBibTeX XMLCite \textit{F. L. Hsu} et al., J. Comb. Math. Comb. Comput. 22, 33--49 (1996; Zbl 0868.94044)