Information on Result #1312592
Linear OA(8157, 4136, F8, 45) (dual of [4136, 3979, 46]-code), using 3978 step Varšamov–Edel lengthening with (ri) = (7, 3, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 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, 5 times 0, 1, 5 times 0, 1, 5 times 0, 1, 6 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, 9 times 0, 1, 11 times 0, 1, 10 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, 17 times 0, 1, 18 times 0, 1, 18 times 0, 1, 20 times 0, 1, 21 times 0, 1, 21 times 0, 1, 23 times 0, 1, 24 times 0, 1, 26 times 0, 1, 26 times 0, 1, 28 times 0, 1, 30 times 0, 1, 31 times 0, 1, 33 times 0, 1, 34 times 0, 1, 36 times 0, 1, 38 times 0, 1, 40 times 0, 1, 42 times 0, 1, 44 times 0, 1, 46 times 0, 1, 48 times 0, 1, 51 times 0, 1, 54 times 0, 1, 56 times 0, 1, 59 times 0, 1, 62 times 0, 1, 65 times 0, 1, 69 times 0, 1, 72 times 0, 1, 75 times 0, 1, 79 times 0, 1, 83 times 0, 1, 87 times 0, 1, 92 times 0, 1, 96 times 0, 1, 100 times 0, 1, 106 times 0, 1, 111 times 0, 1, 116 times 0, 1, 122 times 0, 1, 128 times 0, 1, 135 times 0, 1, 141 times 0, 1, 148 times 0, 1, 155 times 0, 1, 163 times 0, 1, 171 times 0, 1, 179 times 0, 1, 188 times 0) based on linear OA(845, 46, F8, 45) (dual of [46, 1, 46]-code or 46-arc in PG(44,8)), using
- dual of repetition code with length 46 [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(8157, 4136, F8, 2, 45) (dual of [(4136, 2), 8115, 46]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8157, 4136, F8, 3, 45) (dual of [(4136, 3), 12251, 46]-NRT-code) | [i] | ||
| 3 | Digital (112, 157, 4136)-net over F8 | [i] | ||
| 4 | Linear OOA(8157, 2068, F8, 2, 45) (dual of [(2068, 2), 3979, 46]-NRT-code) | [i] | OOA Folding | |