Information on Result #1724568
Digital (114, 148, 750)-net over F5, using net defined by OOA based on linear OOA(5148, 750, F5, 39, 34) (dual of [(750, 39), 29102, 35]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OOA(5148, 4501, F5, 3, 34) (dual of [(4501, 3), 13355, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5148, 4505, F5, 3, 34) (dual of [(4505, 3), 13367, 35]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5148, 4505, F5, 34) (dual of [4505, 4357, 35]-code), using
- 4356 step Varšamov–Edel lengthening with (ri) = (8, 4, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 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, 5 times 0, 1, 4 times 0, 1, 5 times 0, 1, 6 times 0, 1, 6 times 0, 1, 6 times 0, 1, 6 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, 11 times 0, 1, 11 times 0, 1, 12 times 0, 1, 13 times 0, 1, 13 times 0, 1, 14 times 0, 1, 15 times 0, 1, 16 times 0, 1, 16 times 0, 1, 18 times 0, 1, 18 times 0, 1, 20 times 0, 1, 21 times 0, 1, 22 times 0, 1, 23 times 0, 1, 24 times 0, 1, 25 times 0, 1, 27 times 0, 1, 28 times 0, 1, 30 times 0, 1, 32 times 0, 1, 33 times 0, 1, 35 times 0, 1, 37 times 0, 1, 38 times 0, 1, 41 times 0, 1, 43 times 0, 1, 45 times 0, 1, 47 times 0, 1, 50 times 0, 1, 53 times 0, 1, 55 times 0, 1, 58 times 0, 1, 61 times 0, 1, 65 times 0, 1, 67 times 0, 1, 71 times 0, 1, 75 times 0, 1, 79 times 0, 1, 82 times 0, 1, 87 times 0, 1, 91 times 0, 1, 96 times 0, 1, 101 times 0, 1, 106 times 0, 1, 111 times 0, 1, 117 times 0, 1, 123 times 0, 1, 129 times 0, 1, 136 times 0, 1, 143 times 0, 1, 150 times 0, 1, 157 times 0, 1, 165 times 0, 1, 174 times 0, 1, 183 times 0, 1, 192 times 0, 1, 201 times 0, 1, 212 times 0) [i] based on linear OA(534, 35, F5, 34) (dual of [35, 1, 35]-code or 35-arc in PG(33,5)), using
- dual of repetition code with length 35 [i]
- 4356 step Varšamov–Edel lengthening with (ri) = (8, 4, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 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, 5 times 0, 1, 4 times 0, 1, 5 times 0, 1, 6 times 0, 1, 6 times 0, 1, 6 times 0, 1, 6 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, 11 times 0, 1, 11 times 0, 1, 12 times 0, 1, 13 times 0, 1, 13 times 0, 1, 14 times 0, 1, 15 times 0, 1, 16 times 0, 1, 16 times 0, 1, 18 times 0, 1, 18 times 0, 1, 20 times 0, 1, 21 times 0, 1, 22 times 0, 1, 23 times 0, 1, 24 times 0, 1, 25 times 0, 1, 27 times 0, 1, 28 times 0, 1, 30 times 0, 1, 32 times 0, 1, 33 times 0, 1, 35 times 0, 1, 37 times 0, 1, 38 times 0, 1, 41 times 0, 1, 43 times 0, 1, 45 times 0, 1, 47 times 0, 1, 50 times 0, 1, 53 times 0, 1, 55 times 0, 1, 58 times 0, 1, 61 times 0, 1, 65 times 0, 1, 67 times 0, 1, 71 times 0, 1, 75 times 0, 1, 79 times 0, 1, 82 times 0, 1, 87 times 0, 1, 91 times 0, 1, 96 times 0, 1, 101 times 0, 1, 106 times 0, 1, 111 times 0, 1, 117 times 0, 1, 123 times 0, 1, 129 times 0, 1, 136 times 0, 1, 143 times 0, 1, 150 times 0, 1, 157 times 0, 1, 165 times 0, 1, 174 times 0, 1, 183 times 0, 1, 192 times 0, 1, 201 times 0, 1, 212 times 0) [i] based on linear OA(534, 35, F5, 34) (dual of [35, 1, 35]-code or 35-arc in PG(33,5)), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5148, 4505, F5, 34) (dual of [4505, 4357, 35]-code), using
- discarding factors / shortening the dual code based on linear OOA(5148, 4505, F5, 3, 34) (dual of [(4505, 3), 13367, 35]-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.