Information on Result #1312619

Linear OA(8167, 4907, F8, 47) (dual of [4907, 4740, 48]-code), using 4739 step VarÅ¡amov–Edel lengthening with (ri) = (8, 3, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 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, 4 times 0, 1, 0, 0, 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, 6 times 0, 1, 6 times 0, 1, 6 times 0, 1, 7 times 0, 1, 7 times 0, 1, 7 times 0, 1, 8 times 0, 1, 9 times 0, 1, 9 times 0, 1, 9 times 0, 1, 10 times 0, 1, 10 times 0, 1, 11 times 0, 1, 12 times 0, 1, 12 times 0, 1, 13 times 0, 1, 14 times 0, 1, 14 times 0, 1, 16 times 0, 1, 16 times 0, 1, 16 times 0, 1, 18 times 0, 1, 19 times 0, 1, 19 times 0, 1, 21 times 0, 1, 21 times 0, 1, 23 times 0, 1, 24 times 0, 1, 25 times 0, 1, 26 times 0, 1, 27 times 0, 1, 29 times 0, 1, 30 times 0, 1, 32 times 0, 1, 34 times 0, 1, 35 times 0, 1, 36 times 0, 1, 39 times 0, 1, 40 times 0, 1, 43 times 0, 1, 44 times 0, 1, 47 times 0, 1, 49 times 0, 1, 51 times 0, 1, 53 times 0, 1, 56 times 0, 1, 59 times 0, 1, 62 times 0, 1, 65 times 0, 1, 67 times 0, 1, 71 times 0, 1, 75 times 0, 1, 77 times 0, 1, 82 times 0, 1, 85 times 0, 1, 90 times 0, 1, 93 times 0, 1, 99 times 0, 1, 102 times 0, 1, 108 times 0, 1, 112 times 0, 1, 118 times 0, 1, 124 times 0, 1, 129 times 0, 1, 135 times 0, 1, 142 times 0, 1, 149 times 0, 1, 155 times 0, 1, 162 times 0, 1, 171 times 0, 1, 178 times 0, 1, 186 times 0, 1, 195 times 0, 1, 205 times 0, 1, 214 times 0) based on linear OA(847, 48, F8, 47) (dual of [48, 1, 48]-code or 48-arc in PG(46,8)), 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(8167, 4907, F8, 2, 47) (dual of [(4907, 2), 9647, 48]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(8167, 4907, F8, 3, 47) (dual of [(4907, 3), 14554, 48]-NRT-code) [i]
3Digital (120, 167, 4907)-net over F8 [i]