Information on Result #1726654
Digital (62, 91, 212)-net over F7, using net defined by OOA based on linear OOA(791, 212, F7, 33, 29) (dual of [(212, 33), 6905, 30]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(791, 1061, F7, 3, 29) (dual of [(1061, 3), 3092, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(791, 1065, F7, 3, 29) (dual of [(1065, 3), 3104, 30]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(791, 1065, F7, 29) (dual of [1065, 974, 30]-code), using
- 973 step Varšamov–Edel lengthening with (ri) = (5, 3, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 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, 5 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, 10 times 0, 1, 10 times 0, 1, 11 times 0, 1, 12 times 0, 1, 14 times 0, 1, 14 times 0, 1, 16 times 0, 1, 17 times 0, 1, 18 times 0, 1, 19 times 0, 1, 22 times 0, 1, 22 times 0, 1, 25 times 0, 1, 27 times 0, 1, 28 times 0, 1, 31 times 0, 1, 33 times 0, 1, 36 times 0, 1, 38 times 0, 1, 42 times 0, 1, 44 times 0, 1, 48 times 0, 1, 52 times 0, 1, 55 times 0, 1, 59 times 0, 1, 64 times 0, 1, 69 times 0) [i] based on linear OA(729, 30, F7, 29) (dual of [30, 1, 30]-code or 30-arc in PG(28,7)), using
- dual of repetition code with length 30 [i]
- 973 step Varšamov–Edel lengthening with (ri) = (5, 3, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 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, 5 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, 10 times 0, 1, 10 times 0, 1, 11 times 0, 1, 12 times 0, 1, 14 times 0, 1, 14 times 0, 1, 16 times 0, 1, 17 times 0, 1, 18 times 0, 1, 19 times 0, 1, 22 times 0, 1, 22 times 0, 1, 25 times 0, 1, 27 times 0, 1, 28 times 0, 1, 31 times 0, 1, 33 times 0, 1, 36 times 0, 1, 38 times 0, 1, 42 times 0, 1, 44 times 0, 1, 48 times 0, 1, 52 times 0, 1, 55 times 0, 1, 59 times 0, 1, 64 times 0, 1, 69 times 0) [i] based on linear OA(729, 30, F7, 29) (dual of [30, 1, 30]-code or 30-arc in PG(28,7)), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(791, 1065, F7, 29) (dual of [1065, 974, 30]-code), using
- discarding factors / shortening the dual code based on linear OOA(791, 1065, F7, 3, 29) (dual of [(1065, 3), 3104, 30]-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.