Niederreiter, Harald Weights of cyclic codes. (English) Zbl 0357.94008 Inf. Control 34, 130-140 (1977). Using results on linear recurring sequences the author gives an inequality for the weight of the nonzero codewords of cyclic codes. In the case of cyclic codes with parity-check polynomial without multiple roots a refined inequality is proved. For certain binary cyclic codes the exact weight distribution can be determined. Reviewer: Fred Sobik Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 12 Documents MSC: 94B15 Cyclic codes PDFBibTeX XMLCite \textit{H. Niederreiter}, Inf. Control 34, 130--140 (1977; Zbl 0357.94008) Full Text: DOI