Optimal (v, 4, 1) binary cyclically permutable constant weight codes ((v,4,1) optical orthogonal codes (OOC)) and cyclic S(2, 4, v) designs

<p><strong>Optimal (v, 4, 1) binary cyclically permutable constant weight codes ((v,4,1) optical orthogonal codes (OOC)) and cyclic S(2, 4, v) designs.</strong></p> <p><strong>All (v,4,1) OOC</strong> for 26&le;v&le;76 and v=85: All_oc_26-85_4_1.zip</p> <p><strong>All cyclic 2-(v,4,1) designs</strong> for v=40, 52, 64, 76, 88: d_4_1.zip.</p> <p><strong>Some (v,4,1) OOC:&nbsp;</strong></p> <p>The codes are constructed by backtrack search considering all possibilities for the first two codewords (n=0 and n=1), but only the first 3 possibilities for the n-th codeword (n &gt; 1) are considered for 77&le;v&le;98: E3oc_77-98_4_1.zip.</p> <p>The codes are constructed by backtrack search considering all possibilities for the first two codewords (n=0 and n=1), but only the first 2 possibilities for the n-th codeword (n &gt; 1) are considered for 99&le;v&le;136: E2oc_99-136_4_1.zip</p> <p><strong>Some cyclic 2-(v,4,1) designs. </strong>The designs are constructed by backtrack search considering all possibilities for the first two or three baseblocks, but only the first 2 possibilities for the n-th baseblock (n &gt; 1 for strictly cyclic designs, n&gt;2 for designs with one short orbit) are considered for 100&le;v&le;160: E2d_4_1.zip</p>