Information on Result #1312487
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) 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]
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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(8135, 4987, F8, 2, 37) (dual of [(4987, 2), 9839, 38]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8135, 4987, F8, 3, 37) (dual of [(4987, 3), 14826, 38]-NRT-code) | [i] | ||
| 3 | Digital (98, 135, 4987)-net over F8 | [i] | ||