Information on Result #1491548
Linear OOA(8166, 2042, F8, 3, 48) (dual of [(2042, 3), 5960, 49]-NRT-code), using OOA 2-folding based on linear OOA(8166, 4084, F8, 2, 48) (dual of [(4084, 2), 8002, 49]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8166, 4085, F8, 2, 48) (dual of [(4085, 2), 8004, 49]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8166, 4085, F8, 48) (dual of [4085, 3919, 49]-code), using
- 3918 step Varšamov–Edel lengthening with (ri) = (8, 3, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 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, 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, 6 times 0, 1, 5 times 0, 1, 7 times 0, 1, 6 times 0, 1, 7 times 0, 1, 8 times 0, 1, 8 times 0, 1, 8 times 0, 1, 9 times 0, 1, 9 times 0, 1, 10 times 0, 1, 10 times 0, 1, 11 times 0, 1, 12 times 0, 1, 12 times 0, 1, 13 times 0, 1, 13 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, 26 times 0, 1, 27 times 0, 1, 28 times 0, 1, 29 times 0, 1, 31 times 0, 1, 32 times 0, 1, 33 times 0, 1, 36 times 0, 1, 37 times 0, 1, 39 times 0, 1, 40 times 0, 1, 43 times 0, 1, 44 times 0, 1, 47 times 0, 1, 49 times 0, 1, 51 times 0, 1, 54 times 0, 1, 56 times 0, 1, 59 times 0, 1, 61 times 0, 1, 65 times 0, 1, 67 times 0, 1, 71 times 0, 1, 74 times 0, 1, 77 times 0, 1, 81 times 0, 1, 84 times 0, 1, 89 times 0, 1, 92 times 0, 1, 97 times 0, 1, 102 times 0, 1, 106 times 0, 1, 111 times 0, 1, 116 times 0, 1, 121 times 0, 1, 127 times 0, 1, 133 times 0, 1, 139 times 0, 1, 145 times 0, 1, 152 times 0, 1, 159 times 0, 1, 166 times 0, 1, 174 times 0) [i] based on linear OA(848, 49, F8, 48) (dual of [49, 1, 49]-code or 49-arc in PG(47,8)), using
- dual of repetition code with length 49 [i]
- 3918 step Varšamov–Edel lengthening with (ri) = (8, 3, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 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, 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, 6 times 0, 1, 5 times 0, 1, 7 times 0, 1, 6 times 0, 1, 7 times 0, 1, 8 times 0, 1, 8 times 0, 1, 8 times 0, 1, 9 times 0, 1, 9 times 0, 1, 10 times 0, 1, 10 times 0, 1, 11 times 0, 1, 12 times 0, 1, 12 times 0, 1, 13 times 0, 1, 13 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, 26 times 0, 1, 27 times 0, 1, 28 times 0, 1, 29 times 0, 1, 31 times 0, 1, 32 times 0, 1, 33 times 0, 1, 36 times 0, 1, 37 times 0, 1, 39 times 0, 1, 40 times 0, 1, 43 times 0, 1, 44 times 0, 1, 47 times 0, 1, 49 times 0, 1, 51 times 0, 1, 54 times 0, 1, 56 times 0, 1, 59 times 0, 1, 61 times 0, 1, 65 times 0, 1, 67 times 0, 1, 71 times 0, 1, 74 times 0, 1, 77 times 0, 1, 81 times 0, 1, 84 times 0, 1, 89 times 0, 1, 92 times 0, 1, 97 times 0, 1, 102 times 0, 1, 106 times 0, 1, 111 times 0, 1, 116 times 0, 1, 121 times 0, 1, 127 times 0, 1, 133 times 0, 1, 139 times 0, 1, 145 times 0, 1, 152 times 0, 1, 159 times 0, 1, 166 times 0, 1, 174 times 0) [i] based on linear OA(848, 49, F8, 48) (dual of [49, 1, 49]-code or 49-arc in PG(47,8)), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8166, 4085, F8, 48) (dual of [4085, 3919, 49]-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.