Information on Result #1313293

Linear OA(9127, 4168, F9, 37) (dual of [4168, 4041, 38]-code), using 4040 step VarÅ¡amov–Edel lengthening with (ri) = (6, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 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, 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, 7 times 0, 1, 7 times 0, 1, 8 times 0, 1, 8 times 0, 1, 9 times 0, 1, 9 times 0, 1, 11 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, 17 times 0, 1, 18 times 0, 1, 19 times 0, 1, 21 times 0, 1, 22 times 0, 1, 24 times 0, 1, 25 times 0, 1, 27 times 0, 1, 29 times 0, 1, 31 times 0, 1, 33 times 0, 1, 35 times 0, 1, 37 times 0, 1, 40 times 0, 1, 42 times 0, 1, 46 times 0, 1, 48 times 0, 1, 51 times 0, 1, 55 times 0, 1, 58 times 0, 1, 63 times 0, 1, 66 times 0, 1, 70 times 0, 1, 75 times 0, 1, 80 times 0, 1, 85 times 0, 1, 91 times 0, 1, 96 times 0, 1, 103 times 0, 1, 109 times 0, 1, 116 times 0, 1, 123 times 0, 1, 132 times 0, 1, 140 times 0, 1, 149 times 0, 1, 158 times 0, 1, 168 times 0, 1, 179 times 0, 1, 191 times 0, 1, 202 times 0, 1, 216 times 0, 1, 229 times 0, 1, 244 times 0) based on linear OA(937, 38, F9, 37) (dual of [38, 1, 38]-code or 38-arc in PG(36,9)), 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(9127, 4168, F9, 2, 37) (dual of [(4168, 2), 8209, 38]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(9127, 4168, F9, 3, 37) (dual of [(4168, 3), 12377, 38]-NRT-code) [i]
3Digital (90, 127, 4168)-net over F9 [i]
4Linear OOA(9127, 2084, F9, 2, 37) (dual of [(2084, 2), 4041, 38]-NRT-code) [i]OOA Folding