Information on Result #1313347

Linear OA(9141, 3880, F9, 42) (dual of [3880, 3739, 43]-code), using 3738 step VarÅ¡amov–Edel lengthening with (ri) = (6, 3, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 4 times 0, 1, 0, 0, 0, 1, 4 times 0, 1, 5 times 0, 1, 5 times 0, 1, 5 times 0, 1, 6 times 0, 1, 6 times 0, 1, 6 times 0, 1, 7 times 0, 1, 8 times 0, 1, 8 times 0, 1, 8 times 0, 1, 9 times 0, 1, 10 times 0, 1, 11 times 0, 1, 11 times 0, 1, 11 times 0, 1, 13 times 0, 1, 13 times 0, 1, 15 times 0, 1, 15 times 0, 1, 16 times 0, 1, 17 times 0, 1, 18 times 0, 1, 19 times 0, 1, 20 times 0, 1, 22 times 0, 1, 23 times 0, 1, 24 times 0, 1, 26 times 0, 1, 27 times 0, 1, 29 times 0, 1, 31 times 0, 1, 32 times 0, 1, 34 times 0, 1, 36 times 0, 1, 39 times 0, 1, 40 times 0, 1, 43 times 0, 1, 45 times 0, 1, 48 times 0, 1, 51 times 0, 1, 54 times 0, 1, 57 times 0, 1, 60 times 0, 1, 63 times 0, 1, 67 times 0, 1, 71 times 0, 1, 74 times 0, 1, 79 times 0, 1, 84 times 0, 1, 88 times 0, 1, 93 times 0, 1, 98 times 0, 1, 104 times 0, 1, 110 times 0, 1, 116 times 0, 1, 122 times 0, 1, 129 times 0, 1, 136 times 0, 1, 144 times 0, 1, 152 times 0, 1, 161 times 0, 1, 169 times 0, 1, 179 times 0, 1, 189 times 0, 1, 200 times 0) based on linear OA(942, 43, F9, 42) (dual of [43, 1, 43]-code or 43-arc in PG(41,9)), using

Mode: Linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OOA(9141, 3880, F9, 2, 42) (dual of [(3880, 2), 7619, 43]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(9141, 3880, F9, 3, 42) (dual of [(3880, 3), 11499, 43]-NRT-code) [i]
3Digital (99, 141, 3880)-net over F9 [i]
4Linear OOA(9141, 1940, F9, 2, 42) (dual of [(1940, 2), 3739, 43]-NRT-code) [i]OOA Folding