Information on Result #910484
Linear OOA(8146, 75, F8, 2, 133) (dual of [(75, 2), 4, 134]-NRT-code), using juxtaposition based on
- linear OOA(816, 10, F8, 2, 15) (dual of [(10, 2), 4, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(816, 14, F8, 2, 15) (dual of [(14, 2), 12, 16]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,12P) [i] based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, using
- discarding factors / shortening the dual code based on linear OOA(816, 14, F8, 2, 15) (dual of [(14, 2), 12, 16]-NRT-code), using
- linear OOA(8126, 65, F8, 2, 117) (dual of [(65, 2), 4, 118]-NRT-code), using
- standard lengthening with (d0,…,d1) = (116,117) [i] based on linear OOA(8124, 64, F8, 2, 115) (dual of [(64, 2), 4, 116]-NRT-code), using algebraic-geometric NRT-code AG(2;F,12P) with known gap numbers [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using the Suzuki function field over F8 [i]
Mode: Constructive and 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(8146, 75, F8, 2, 132) (dual of [(75, 2), 4, 133]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(8146, 75, F8, 2, 131) (dual of [(75, 2), 4, 132]-NRT-code) | [i] | ||
| 3 | Linear OOA(8146, 75, F8, 2, 130) (dual of [(75, 2), 4, 131]-NRT-code) | [i] | ||