Chen, Kejun; Sun, Yigang; Zhang, Yong Super-simple balanced incomplete block designs with block size 4 and index 8. (English) Zbl 1311.05021 Util. Math. 91, 213-229 (2013). In this paper, the authors investigate the existence of a super-simple \((v,4,8)\) balanced incomplete block designs (BIBDs). They prove that such a design exists if and only if \(v \equiv 1 \pmod 3\) and \(v \geq 19\). Also, they construct many super-simple \((v,4,8)\) BIBDs for these values of \(v\). Finally, the authors mention some applications of the results in coding theory (about optical orthogonal codes and superimposed codes). Reviewer: Zlatko Varbanov (Veliko Tarnovo) Cited in 11 Documents MSC: 05B05 Combinatorial aspects of block designs Keywords:block designs; super-simple designs; optical orthogonal codes; superimposed codes PDFBibTeX XMLCite \textit{K. Chen} et al., Util. Math. 91, 213--229 (2013; Zbl 1311.05021)