Information on Result #910419
Linear OOA(8138, 72, F8, 2, 122) (dual of [(72, 2), 6, 123]-NRT-code), using juxtaposition based on
- linear OOA(88, 7, F8, 2, 8) (dual of [(7, 2), 6, 9]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(88, 8, F8, 2, 8) (dual of [(8, 2), 8, 9]-NRT-code), using
- Reed–Solomon NRT-code RS(2;8,8) [i]
- discarding factors / shortening the dual code based on linear OOA(88, 8, F8, 2, 8) (dual of [(8, 2), 8, 9]-NRT-code), using
- linear OOA(8124, 65, F8, 2, 113) (dual of [(65, 2), 6, 114]-NRT-code), using
- standard lengthening with (d0,…,d1) = (112,113) [i] based on linear OOA(8122, 64, F8, 2, 111) (dual of [(64, 2), 6, 112]-NRT-code), using algebraic-geometric NRT-code AG(2;F,16P) 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(8138, 72, F8, 2, 121) (dual of [(72, 2), 6, 122]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(8138, 72, F8, 2, 120) (dual of [(72, 2), 6, 121]-NRT-code) | [i] | ||