Information on Result #1491592
Linear OOA(8165, 1714, F8, 3, 49) (dual of [(1714, 3), 4977, 50]-NRT-code), using OOA 2-folding based on linear OOA(8165, 3428, F8, 2, 49) (dual of [(3428, 2), 6691, 50]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8165, 3429, F8, 2, 49) (dual of [(3429, 2), 6693, 50]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8165, 3429, F8, 49) (dual of [3429, 3264, 50]-code), using
- 3263 step Varšamov–Edel lengthening with (ri) = (8, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 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, 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, 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, 7 times 0, 1, 9 times 0, 1, 8 times 0, 1, 9 times 0, 1, 10 times 0, 1, 10 times 0, 1, 11 times 0, 1, 11 times 0, 1, 12 times 0, 1, 13 times 0, 1, 13 times 0, 1, 14 times 0, 1, 14 times 0, 1, 16 times 0, 1, 16 times 0, 1, 17 times 0, 1, 17 times 0, 1, 19 times 0, 1, 19 times 0, 1, 21 times 0, 1, 21 times 0, 1, 22 times 0, 1, 24 times 0, 1, 25 times 0, 1, 25 times 0, 1, 27 times 0, 1, 29 times 0, 1, 29 times 0, 1, 31 times 0, 1, 33 times 0, 1, 34 times 0, 1, 36 times 0, 1, 37 times 0, 1, 39 times 0, 1, 41 times 0, 1, 43 times 0, 1, 45 times 0, 1, 47 times 0, 1, 49 times 0, 1, 51 times 0, 1, 54 times 0, 1, 56 times 0, 1, 58 times 0, 1, 62 times 0, 1, 64 times 0, 1, 67 times 0, 1, 70 times 0, 1, 74 times 0, 1, 76 times 0, 1, 80 times 0, 1, 84 times 0, 1, 88 times 0, 1, 92 times 0, 1, 95 times 0, 1, 100 times 0, 1, 105 times 0, 1, 109 times 0, 1, 114 times 0, 1, 120 times 0, 1, 125 times 0, 1, 130 times 0, 1, 136 times 0, 1, 143 times 0) [i] based on linear OA(849, 50, F8, 49) (dual of [50, 1, 50]-code or 50-arc in PG(48,8)), using
- dual of repetition code with length 50 [i]
- 3263 step Varšamov–Edel lengthening with (ri) = (8, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 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, 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, 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, 7 times 0, 1, 9 times 0, 1, 8 times 0, 1, 9 times 0, 1, 10 times 0, 1, 10 times 0, 1, 11 times 0, 1, 11 times 0, 1, 12 times 0, 1, 13 times 0, 1, 13 times 0, 1, 14 times 0, 1, 14 times 0, 1, 16 times 0, 1, 16 times 0, 1, 17 times 0, 1, 17 times 0, 1, 19 times 0, 1, 19 times 0, 1, 21 times 0, 1, 21 times 0, 1, 22 times 0, 1, 24 times 0, 1, 25 times 0, 1, 25 times 0, 1, 27 times 0, 1, 29 times 0, 1, 29 times 0, 1, 31 times 0, 1, 33 times 0, 1, 34 times 0, 1, 36 times 0, 1, 37 times 0, 1, 39 times 0, 1, 41 times 0, 1, 43 times 0, 1, 45 times 0, 1, 47 times 0, 1, 49 times 0, 1, 51 times 0, 1, 54 times 0, 1, 56 times 0, 1, 58 times 0, 1, 62 times 0, 1, 64 times 0, 1, 67 times 0, 1, 70 times 0, 1, 74 times 0, 1, 76 times 0, 1, 80 times 0, 1, 84 times 0, 1, 88 times 0, 1, 92 times 0, 1, 95 times 0, 1, 100 times 0, 1, 105 times 0, 1, 109 times 0, 1, 114 times 0, 1, 120 times 0, 1, 125 times 0, 1, 130 times 0, 1, 136 times 0, 1, 143 times 0) [i] based on linear OA(849, 50, F8, 49) (dual of [50, 1, 50]-code or 50-arc in PG(48,8)), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8165, 3429, F8, 49) (dual of [3429, 3264, 50]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.