Information on Result #1490874
Linear OOA(8135, 2493, F8, 3, 37) (dual of [(2493, 3), 7344, 38]-NRT-code), using OOA 2-folding based on linear OOA(8135, 4986, F8, 2, 37) (dual of [(4986, 2), 9837, 38]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8135, 4987, F8, 2, 37) (dual of [(4987, 2), 9839, 38]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8135, 4987, F8, 37) (dual of [4987, 4852, 38]-code), using
- 4851 step Varšamov–Edel lengthening with (ri) = (6, 3, 2, 1, 1, 1, 1, 1, 0, 1, 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, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 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, 6 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, 11 times 0, 1, 11 times 0, 1, 12 times 0, 1, 12 times 0, 1, 14 times 0, 1, 14 times 0, 1, 16 times 0, 1, 16 times 0, 1, 18 times 0, 1, 18 times 0, 1, 20 times 0, 1, 22 times 0, 1, 22 times 0, 1, 24 times 0, 1, 26 times 0, 1, 27 times 0, 1, 29 times 0, 1, 31 times 0, 1, 33 times 0, 1, 35 times 0, 1, 37 times 0, 1, 40 times 0, 1, 42 times 0, 1, 44 times 0, 1, 47 times 0, 1, 50 times 0, 1, 54 times 0, 1, 57 times 0, 1, 60 times 0, 1, 63 times 0, 1, 68 times 0, 1, 72 times 0, 1, 76 times 0, 1, 81 times 0, 1, 86 times 0, 1, 91 times 0, 1, 97 times 0, 1, 102 times 0, 1, 109 times 0, 1, 115 times 0, 1, 122 times 0, 1, 130 times 0, 1, 137 times 0, 1, 146 times 0, 1, 154 times 0, 1, 164 times 0, 1, 174 times 0, 1, 184 times 0, 1, 195 times 0, 1, 207 times 0, 1, 219 times 0, 1, 233 times 0, 1, 246 times 0, 1, 262 times 0, 1, 277 times 0) [i] based on linear OA(837, 38, F8, 37) (dual of [38, 1, 38]-code or 38-arc in PG(36,8)), using
- dual of repetition code with length 38 [i]
- 4851 step Varšamov–Edel lengthening with (ri) = (6, 3, 2, 1, 1, 1, 1, 1, 0, 1, 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, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 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, 6 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, 11 times 0, 1, 11 times 0, 1, 12 times 0, 1, 12 times 0, 1, 14 times 0, 1, 14 times 0, 1, 16 times 0, 1, 16 times 0, 1, 18 times 0, 1, 18 times 0, 1, 20 times 0, 1, 22 times 0, 1, 22 times 0, 1, 24 times 0, 1, 26 times 0, 1, 27 times 0, 1, 29 times 0, 1, 31 times 0, 1, 33 times 0, 1, 35 times 0, 1, 37 times 0, 1, 40 times 0, 1, 42 times 0, 1, 44 times 0, 1, 47 times 0, 1, 50 times 0, 1, 54 times 0, 1, 57 times 0, 1, 60 times 0, 1, 63 times 0, 1, 68 times 0, 1, 72 times 0, 1, 76 times 0, 1, 81 times 0, 1, 86 times 0, 1, 91 times 0, 1, 97 times 0, 1, 102 times 0, 1, 109 times 0, 1, 115 times 0, 1, 122 times 0, 1, 130 times 0, 1, 137 times 0, 1, 146 times 0, 1, 154 times 0, 1, 164 times 0, 1, 174 times 0, 1, 184 times 0, 1, 195 times 0, 1, 207 times 0, 1, 219 times 0, 1, 233 times 0, 1, 246 times 0, 1, 262 times 0, 1, 277 times 0) [i] based on linear OA(837, 38, F8, 37) (dual of [38, 1, 38]-code or 38-arc in PG(36,8)), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8135, 4987, F8, 37) (dual of [4987, 4852, 38]-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.