Information on Result #1312635

Linear OA(8165, 3429, F8, 49) (dual of [3429, 3264, 50]-code), using 3263 step VarÅ¡amov–Edel lengthening with (ri) = (8, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 4 times 0, 1, 4 times 0, 1, 4 times 0, 1, 4 times 0, 1, 5 times 0, 1, 5 times 0, 1, 5 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, 7 times 0, 1, 9 times 0, 1, 8 times 0, 1, 9 times 0, 1, 10 times 0, 1, 10 times 0, 1, 11 times 0, 1, 11 times 0, 1, 12 times 0, 1, 13 times 0, 1, 13 times 0, 1, 14 times 0, 1, 14 times 0, 1, 16 times 0, 1, 16 times 0, 1, 17 times 0, 1, 17 times 0, 1, 19 times 0, 1, 19 times 0, 1, 21 times 0, 1, 21 times 0, 1, 22 times 0, 1, 24 times 0, 1, 25 times 0, 1, 25 times 0, 1, 27 times 0, 1, 29 times 0, 1, 29 times 0, 1, 31 times 0, 1, 33 times 0, 1, 34 times 0, 1, 36 times 0, 1, 37 times 0, 1, 39 times 0, 1, 41 times 0, 1, 43 times 0, 1, 45 times 0, 1, 47 times 0, 1, 49 times 0, 1, 51 times 0, 1, 54 times 0, 1, 56 times 0, 1, 58 times 0, 1, 62 times 0, 1, 64 times 0, 1, 67 times 0, 1, 70 times 0, 1, 74 times 0, 1, 76 times 0, 1, 80 times 0, 1, 84 times 0, 1, 88 times 0, 1, 92 times 0, 1, 95 times 0, 1, 100 times 0, 1, 105 times 0, 1, 109 times 0, 1, 114 times 0, 1, 120 times 0, 1, 125 times 0, 1, 130 times 0, 1, 136 times 0, 1, 143 times 0) based on linear OA(849, 50, F8, 49) (dual of [50, 1, 50]-code or 50-arc in PG(48,8)), 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(8165, 3429, F8, 2, 49) (dual of [(3429, 2), 6693, 50]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(8165, 3429, F8, 3, 49) (dual of [(3429, 3), 10122, 50]-NRT-code) [i]
3Digital (116, 165, 3429)-net over F8 [i]