Information on Result #1726404
Digital (56, 80, 344)-net over F7, using net defined by OOA based on linear OOA(780, 344, F7, 27, 24) (dual of [(344, 27), 9208, 25]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(780, 1377, F7, 3, 24) (dual of [(1377, 3), 4051, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(780, 1379, F7, 3, 24) (dual of [(1379, 3), 4057, 25]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(780, 1379, F7, 24) (dual of [1379, 1299, 25]-code), using
- 1298 step Varšamov–Edel lengthening with (ri) = (4, 3, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 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, 5 times 0, 1, 5 times 0, 1, 6 times 0, 1, 7 times 0, 1, 7 times 0, 1, 8 times 0, 1, 10 times 0, 1, 10 times 0, 1, 11 times 0, 1, 13 times 0, 1, 14 times 0, 1, 15 times 0, 1, 17 times 0, 1, 18 times 0, 1, 20 times 0, 1, 23 times 0, 1, 24 times 0, 1, 27 times 0, 1, 29 times 0, 1, 32 times 0, 1, 35 times 0, 1, 38 times 0, 1, 42 times 0, 1, 45 times 0, 1, 50 times 0, 1, 54 times 0, 1, 60 times 0, 1, 64 times 0, 1, 71 times 0, 1, 77 times 0, 1, 84 times 0, 1, 92 times 0, 1, 100 times 0, 1, 109 times 0) [i] based on linear OA(724, 25, F7, 24) (dual of [25, 1, 25]-code or 25-arc in PG(23,7)), using
- dual of repetition code with length 25 [i]
- 1298 step Varšamov–Edel lengthening with (ri) = (4, 3, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 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, 5 times 0, 1, 5 times 0, 1, 6 times 0, 1, 7 times 0, 1, 7 times 0, 1, 8 times 0, 1, 10 times 0, 1, 10 times 0, 1, 11 times 0, 1, 13 times 0, 1, 14 times 0, 1, 15 times 0, 1, 17 times 0, 1, 18 times 0, 1, 20 times 0, 1, 23 times 0, 1, 24 times 0, 1, 27 times 0, 1, 29 times 0, 1, 32 times 0, 1, 35 times 0, 1, 38 times 0, 1, 42 times 0, 1, 45 times 0, 1, 50 times 0, 1, 54 times 0, 1, 60 times 0, 1, 64 times 0, 1, 71 times 0, 1, 77 times 0, 1, 84 times 0, 1, 92 times 0, 1, 100 times 0, 1, 109 times 0) [i] based on linear OA(724, 25, F7, 24) (dual of [25, 1, 25]-code or 25-arc in PG(23,7)), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(780, 1379, F7, 24) (dual of [1379, 1299, 25]-code), using
- discarding factors / shortening the dual code based on linear OOA(780, 1379, F7, 3, 24) (dual of [(1379, 3), 4057, 25]-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.