Information on Result #1310800

Linear OA(5126, 5005, F5, 28) (dual of [5005, 4879, 29]-code), using 4878 step VarÅ¡amov–Edel lengthening with (ri) = (7, 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, 0, 1, 0, 0, 1, 0, 0, 0, 1, 4 times 0, 1, 0, 0, 0, 1, 4 times 0, 1, 5 times 0, 1, 4 times 0, 1, 5 times 0, 1, 6 times 0, 1, 6 times 0, 1, 7 times 0, 1, 7 times 0, 1, 8 times 0, 1, 8 times 0, 1, 9 times 0, 1, 9 times 0, 1, 10 times 0, 1, 11 times 0, 1, 12 times 0, 1, 13 times 0, 1, 13 times 0, 1, 15 times 0, 1, 16 times 0, 1, 16 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, 27 times 0, 1, 28 times 0, 1, 30 times 0, 1, 31 times 0, 1, 34 times 0, 1, 36 times 0, 1, 38 times 0, 1, 41 times 0, 1, 44 times 0, 1, 46 times 0, 1, 49 times 0, 1, 53 times 0, 1, 56 times 0, 1, 59 times 0, 1, 63 times 0, 1, 67 times 0, 1, 71 times 0, 1, 76 times 0, 1, 81 times 0, 1, 86 times 0, 1, 91 times 0, 1, 96 times 0, 1, 103 times 0, 1, 109 times 0, 1, 117 times 0, 1, 123 times 0, 1, 131 times 0, 1, 139 times 0, 1, 148 times 0, 1, 157 times 0, 1, 167 times 0, 1, 177 times 0, 1, 189 times 0, 1, 200 times 0, 1, 212 times 0, 1, 226 times 0, 1, 239 times 0, 1, 255 times 0, 1, 270 times 0, 1, 287 times 0) based on linear OA(528, 29, F5, 28) (dual of [29, 1, 29]-code or 29-arc in PG(27,5)), 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(5126, 5005, F5, 2, 28) (dual of [(5005, 2), 9884, 29]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(5126, 5005, F5, 3, 28) (dual of [(5005, 3), 14889, 29]-NRT-code) [i]
3Digital (98, 126, 5005)-net over F5 [i]