Information on Result #1740316
Digital (59, 95, 458)-net over F27, using net defined by OOA based on linear OOA(2795, 458, F27, 38, 36) (dual of [(458, 38), 17309, 37]-NRT-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OOA(2795, 4123, F27, 2, 36) (dual of [(4123, 2), 8151, 37]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2795, 4124, F27, 2, 36) (dual of [(4124, 2), 8153, 37]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2795, 4124, F27, 36) (dual of [4124, 4029, 37]-code), using
- 4028 step Varšamov–Edel lengthening with (ri) = (3, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 4 times 0, 1, 0, 0, 0, 1, 5 times 0, 1, 5 times 0, 1, 6 times 0, 1, 6 times 0, 1, 7 times 0, 1, 9 times 0, 1, 9 times 0, 1, 10 times 0, 1, 12 times 0, 1, 13 times 0, 1, 14 times 0, 1, 16 times 0, 1, 18 times 0, 1, 20 times 0, 1, 22 times 0, 1, 25 times 0, 1, 27 times 0, 1, 30 times 0, 1, 33 times 0, 1, 36 times 0, 1, 40 times 0, 1, 45 times 0, 1, 49 times 0, 1, 54 times 0, 1, 60 times 0, 1, 65 times 0, 1, 73 times 0, 1, 80 times 0, 1, 88 times 0, 1, 96 times 0, 1, 107 times 0, 1, 117 times 0, 1, 129 times 0, 1, 142 times 0, 1, 156 times 0, 1, 172 times 0, 1, 188 times 0, 1, 208 times 0, 1, 229 times 0, 1, 251 times 0, 1, 276 times 0, 1, 304 times 0, 1, 334 times 0, 1, 367 times 0) [i] based on linear OA(2736, 37, F27, 36) (dual of [37, 1, 37]-code or 37-arc in PG(35,27)), using
- dual of repetition code with length 37 [i]
- 4028 step Varšamov–Edel lengthening with (ri) = (3, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 4 times 0, 1, 0, 0, 0, 1, 5 times 0, 1, 5 times 0, 1, 6 times 0, 1, 6 times 0, 1, 7 times 0, 1, 9 times 0, 1, 9 times 0, 1, 10 times 0, 1, 12 times 0, 1, 13 times 0, 1, 14 times 0, 1, 16 times 0, 1, 18 times 0, 1, 20 times 0, 1, 22 times 0, 1, 25 times 0, 1, 27 times 0, 1, 30 times 0, 1, 33 times 0, 1, 36 times 0, 1, 40 times 0, 1, 45 times 0, 1, 49 times 0, 1, 54 times 0, 1, 60 times 0, 1, 65 times 0, 1, 73 times 0, 1, 80 times 0, 1, 88 times 0, 1, 96 times 0, 1, 107 times 0, 1, 117 times 0, 1, 129 times 0, 1, 142 times 0, 1, 156 times 0, 1, 172 times 0, 1, 188 times 0, 1, 208 times 0, 1, 229 times 0, 1, 251 times 0, 1, 276 times 0, 1, 304 times 0, 1, 334 times 0, 1, 367 times 0) [i] based on linear OA(2736, 37, F27, 36) (dual of [37, 1, 37]-code or 37-arc in PG(35,27)), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2795, 4124, F27, 36) (dual of [4124, 4029, 37]-code), using
- discarding factors / shortening the dual code based on linear OOA(2795, 4124, F27, 2, 36) (dual of [(4124, 2), 8153, 37]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.