Information on Result #1727950
Digital (44, 63, 523)-net over F8, using net defined by OOA based on linear OOA(863, 523, F8, 21, 19) (dual of [(523, 21), 10920, 20]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(863, 1570, F8, 3, 19) (dual of [(1570, 3), 4647, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(863, 1572, F8, 3, 19) (dual of [(1572, 3), 4653, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(863, 1572, F8, 19) (dual of [1572, 1509, 20]-code), using
- 1508 step Varšamov–Edel lengthening with (ri) = (3, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 4 times 0, 1, 5 times 0, 1, 5 times 0, 1, 7 times 0, 1, 7 times 0, 1, 9 times 0, 1, 10 times 0, 1, 11 times 0, 1, 13 times 0, 1, 15 times 0, 1, 17 times 0, 1, 19 times 0, 1, 22 times 0, 1, 25 times 0, 1, 28 times 0, 1, 32 times 0, 1, 36 times 0, 1, 41 times 0, 1, 46 times 0, 1, 51 times 0, 1, 58 times 0, 1, 66 times 0, 1, 74 times 0, 1, 83 times 0, 1, 94 times 0, 1, 105 times 0, 1, 119 times 0, 1, 133 times 0, 1, 150 times 0, 1, 169 times 0) [i] based on linear OA(819, 20, F8, 19) (dual of [20, 1, 20]-code or 20-arc in PG(18,8)), using
- dual of repetition code with length 20 [i]
- 1508 step Varšamov–Edel lengthening with (ri) = (3, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 4 times 0, 1, 5 times 0, 1, 5 times 0, 1, 7 times 0, 1, 7 times 0, 1, 9 times 0, 1, 10 times 0, 1, 11 times 0, 1, 13 times 0, 1, 15 times 0, 1, 17 times 0, 1, 19 times 0, 1, 22 times 0, 1, 25 times 0, 1, 28 times 0, 1, 32 times 0, 1, 36 times 0, 1, 41 times 0, 1, 46 times 0, 1, 51 times 0, 1, 58 times 0, 1, 66 times 0, 1, 74 times 0, 1, 83 times 0, 1, 94 times 0, 1, 105 times 0, 1, 119 times 0, 1, 133 times 0, 1, 150 times 0, 1, 169 times 0) [i] based on linear OA(819, 20, F8, 19) (dual of [20, 1, 20]-code or 20-arc in PG(18,8)), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(863, 1572, F8, 19) (dual of [1572, 1509, 20]-code), using
- discarding factors / shortening the dual code based on linear OOA(863, 1572, F8, 3, 19) (dual of [(1572, 3), 4653, 20]-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.