Information on Result #1491631
Linear OOA(8162, 1333, F8, 3, 50) (dual of [(1333, 3), 3837, 51]-NRT-code), using OOA 2-folding based on linear OOA(8162, 2666, F8, 2, 50) (dual of [(2666, 2), 5170, 51]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8162, 2667, F8, 2, 50) (dual of [(2667, 2), 5172, 51]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8162, 2667, F8, 50) (dual of [2667, 2505, 51]-code), using
- 2504 step Varšamov–Edel lengthening with (ri) = (8, 3, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 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, 7 times 0, 1, 8 times 0, 1, 8 times 0, 1, 9 times 0, 1, 9 times 0, 1, 9 times 0, 1, 10 times 0, 1, 11 times 0, 1, 11 times 0, 1, 12 times 0, 1, 12 times 0, 1, 13 times 0, 1, 14 times 0, 1, 14 times 0, 1, 15 times 0, 1, 16 times 0, 1, 16 times 0, 1, 17 times 0, 1, 18 times 0, 1, 19 times 0, 1, 20 times 0, 1, 21 times 0, 1, 22 times 0, 1, 23 times 0, 1, 24 times 0, 1, 25 times 0, 1, 26 times 0, 1, 27 times 0, 1, 29 times 0, 1, 30 times 0, 1, 32 times 0, 1, 33 times 0, 1, 34 times 0, 1, 36 times 0, 1, 38 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, 52 times 0, 1, 53 times 0, 1, 56 times 0, 1, 59 times 0, 1, 61 times 0, 1, 64 times 0, 1, 67 times 0, 1, 70 times 0, 1, 73 times 0, 1, 76 times 0, 1, 80 times 0, 1, 83 times 0, 1, 86 times 0, 1, 91 times 0, 1, 95 times 0, 1, 99 times 0, 1, 103 times 0, 1, 108 times 0) [i] based on linear OA(850, 51, F8, 50) (dual of [51, 1, 51]-code or 51-arc in PG(49,8)), using
- dual of repetition code with length 51 [i]
- 2504 step Varšamov–Edel lengthening with (ri) = (8, 3, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 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, 7 times 0, 1, 8 times 0, 1, 8 times 0, 1, 9 times 0, 1, 9 times 0, 1, 9 times 0, 1, 10 times 0, 1, 11 times 0, 1, 11 times 0, 1, 12 times 0, 1, 12 times 0, 1, 13 times 0, 1, 14 times 0, 1, 14 times 0, 1, 15 times 0, 1, 16 times 0, 1, 16 times 0, 1, 17 times 0, 1, 18 times 0, 1, 19 times 0, 1, 20 times 0, 1, 21 times 0, 1, 22 times 0, 1, 23 times 0, 1, 24 times 0, 1, 25 times 0, 1, 26 times 0, 1, 27 times 0, 1, 29 times 0, 1, 30 times 0, 1, 32 times 0, 1, 33 times 0, 1, 34 times 0, 1, 36 times 0, 1, 38 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, 52 times 0, 1, 53 times 0, 1, 56 times 0, 1, 59 times 0, 1, 61 times 0, 1, 64 times 0, 1, 67 times 0, 1, 70 times 0, 1, 73 times 0, 1, 76 times 0, 1, 80 times 0, 1, 83 times 0, 1, 86 times 0, 1, 91 times 0, 1, 95 times 0, 1, 99 times 0, 1, 103 times 0, 1, 108 times 0) [i] based on linear OA(850, 51, F8, 50) (dual of [51, 1, 51]-code or 51-arc in PG(49,8)), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8162, 2667, F8, 50) (dual of [2667, 2505, 51]-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.