Information on Result #1724210
Digital (98, 126, 1000)-net over F5, using net defined by OOA based on linear OOA(5126, 1000, F5, 33, 28) (dual of [(1000, 33), 32874, 29]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(5126, 5001, F5, 3, 28) (dual of [(5001, 3), 14877, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5126, 5005, F5, 3, 28) (dual of [(5005, 3), 14889, 29]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5126, 5005, F5, 28) (dual of [5005, 4879, 29]-code), using
- 4878 step Varšamov–Edel lengthening with (ri) = (7, 3, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 4 times 0, 1, 0, 0, 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, 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, 11 times 0, 1, 12 times 0, 1, 13 times 0, 1, 13 times 0, 1, 15 times 0, 1, 16 times 0, 1, 16 times 0, 1, 18 times 0, 1, 19 times 0, 1, 20 times 0, 1, 22 times 0, 1, 23 times 0, 1, 24 times 0, 1, 27 times 0, 1, 28 times 0, 1, 30 times 0, 1, 31 times 0, 1, 34 times 0, 1, 36 times 0, 1, 38 times 0, 1, 41 times 0, 1, 44 times 0, 1, 46 times 0, 1, 49 times 0, 1, 53 times 0, 1, 56 times 0, 1, 59 times 0, 1, 63 times 0, 1, 67 times 0, 1, 71 times 0, 1, 76 times 0, 1, 81 times 0, 1, 86 times 0, 1, 91 times 0, 1, 96 times 0, 1, 103 times 0, 1, 109 times 0, 1, 117 times 0, 1, 123 times 0, 1, 131 times 0, 1, 139 times 0, 1, 148 times 0, 1, 157 times 0, 1, 167 times 0, 1, 177 times 0, 1, 189 times 0, 1, 200 times 0, 1, 212 times 0, 1, 226 times 0, 1, 239 times 0, 1, 255 times 0, 1, 270 times 0, 1, 287 times 0) [i] based on linear OA(528, 29, F5, 28) (dual of [29, 1, 29]-code or 29-arc in PG(27,5)), using
- dual of repetition code with length 29 [i]
- 4878 step Varšamov–Edel lengthening with (ri) = (7, 3, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 4 times 0, 1, 0, 0, 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, 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, 11 times 0, 1, 12 times 0, 1, 13 times 0, 1, 13 times 0, 1, 15 times 0, 1, 16 times 0, 1, 16 times 0, 1, 18 times 0, 1, 19 times 0, 1, 20 times 0, 1, 22 times 0, 1, 23 times 0, 1, 24 times 0, 1, 27 times 0, 1, 28 times 0, 1, 30 times 0, 1, 31 times 0, 1, 34 times 0, 1, 36 times 0, 1, 38 times 0, 1, 41 times 0, 1, 44 times 0, 1, 46 times 0, 1, 49 times 0, 1, 53 times 0, 1, 56 times 0, 1, 59 times 0, 1, 63 times 0, 1, 67 times 0, 1, 71 times 0, 1, 76 times 0, 1, 81 times 0, 1, 86 times 0, 1, 91 times 0, 1, 96 times 0, 1, 103 times 0, 1, 109 times 0, 1, 117 times 0, 1, 123 times 0, 1, 131 times 0, 1, 139 times 0, 1, 148 times 0, 1, 157 times 0, 1, 167 times 0, 1, 177 times 0, 1, 189 times 0, 1, 200 times 0, 1, 212 times 0, 1, 226 times 0, 1, 239 times 0, 1, 255 times 0, 1, 270 times 0, 1, 287 times 0) [i] based on linear OA(528, 29, F5, 28) (dual of [29, 1, 29]-code or 29-arc in PG(27,5)), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5126, 5005, F5, 28) (dual of [5005, 4879, 29]-code), using
- discarding factors / shortening the dual code based on linear OOA(5126, 5005, F5, 3, 28) (dual of [(5005, 3), 14889, 29]-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.