Information on Result #1724536
Digital (114, 147, 868)-net over F5, using net defined by OOA based on linear OOA(5147, 868, F5, 39, 33) (dual of [(868, 39), 33705, 34]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OOA(5147, 5209, F5, 3, 33) (dual of [(5209, 3), 15480, 34]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5147, 5213, F5, 3, 33) (dual of [(5213, 3), 15492, 34]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5147, 5213, F5, 33) (dual of [5213, 5066, 34]-code), using
- 5065 step Varšamov–Edel lengthening with (ri) = (8, 3, 2, 2, 1, 1, 1, 1, 1, 1, 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, 0, 1, 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, 6 times 0, 1, 6 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, 10 times 0, 1, 10 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, 26 times 0, 1, 28 times 0, 1, 29 times 0, 1, 30 times 0, 1, 32 times 0, 1, 34 times 0, 1, 36 times 0, 1, 37 times 0, 1, 40 times 0, 1, 42 times 0, 1, 44 times 0, 1, 46 times 0, 1, 49 times 0, 1, 52 times 0, 1, 54 times 0, 1, 57 times 0, 1, 61 times 0, 1, 63 times 0, 1, 67 times 0, 1, 71 times 0, 1, 74 times 0, 1, 78 times 0, 1, 82 times 0, 1, 87 times 0, 1, 91 times 0, 1, 96 times 0, 1, 101 times 0, 1, 107 times 0, 1, 112 times 0, 1, 118 times 0, 1, 124 times 0, 1, 130 times 0, 1, 138 times 0, 1, 144 times 0, 1, 152 times 0, 1, 160 times 0, 1, 169 times 0, 1, 177 times 0, 1, 187 times 0, 1, 196 times 0, 1, 206 times 0, 1, 218 times 0, 1, 228 times 0, 1, 241 times 0, 1, 253 times 0) [i] based on linear OA(533, 34, F5, 33) (dual of [34, 1, 34]-code or 34-arc in PG(32,5)), using
- dual of repetition code with length 34 [i]
- 5065 step Varšamov–Edel lengthening with (ri) = (8, 3, 2, 2, 1, 1, 1, 1, 1, 1, 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, 0, 1, 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, 6 times 0, 1, 6 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, 10 times 0, 1, 10 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, 26 times 0, 1, 28 times 0, 1, 29 times 0, 1, 30 times 0, 1, 32 times 0, 1, 34 times 0, 1, 36 times 0, 1, 37 times 0, 1, 40 times 0, 1, 42 times 0, 1, 44 times 0, 1, 46 times 0, 1, 49 times 0, 1, 52 times 0, 1, 54 times 0, 1, 57 times 0, 1, 61 times 0, 1, 63 times 0, 1, 67 times 0, 1, 71 times 0, 1, 74 times 0, 1, 78 times 0, 1, 82 times 0, 1, 87 times 0, 1, 91 times 0, 1, 96 times 0, 1, 101 times 0, 1, 107 times 0, 1, 112 times 0, 1, 118 times 0, 1, 124 times 0, 1, 130 times 0, 1, 138 times 0, 1, 144 times 0, 1, 152 times 0, 1, 160 times 0, 1, 169 times 0, 1, 177 times 0, 1, 187 times 0, 1, 196 times 0, 1, 206 times 0, 1, 218 times 0, 1, 228 times 0, 1, 241 times 0, 1, 253 times 0) [i] based on linear OA(533, 34, F5, 33) (dual of [34, 1, 34]-code or 34-arc in PG(32,5)), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5147, 5213, F5, 33) (dual of [5213, 5066, 34]-code), using
- discarding factors / shortening the dual code based on linear OOA(5147, 5213, F5, 3, 33) (dual of [(5213, 3), 15492, 34]-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.