Information on Result #938111
Linear OOA(8127, 67, F8, 2, 114) (dual of [(67, 2), 7, 115]-NRT-code), using construction X applied to AG(2;F,13P) ⊂ AG(2;F,18P) based on
- linear OOA(8123, 64, F8, 2, 114) (dual of [(64, 2), 5, 115]-NRT-code), using algebraic-geometric NRT-code AG(2;F,13P) 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]
- linear OOA(8121, 64, F8, 2, 109) (dual of [(64, 2), 7, 110]-NRT-code), using algebraic-geometric NRT-code AG(2;F,18P) with known gap numbers [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OOA(84, 3, F8, 2, 4) (dual of [(3, 2), 2, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(84, 8, F8, 2, 4) (dual of [(8, 2), 12, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(2;12,8) [i]
- discarding factors / shortening the dual code based on linear OOA(84, 8, F8, 2, 4) (dual of [(8, 2), 12, 5]-NRT-code), using
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(8127, 67, F8, 2, 113) (dual of [(67, 2), 7, 114]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(8127, 67, F8, 2, 112) (dual of [(67, 2), 7, 113]-NRT-code) | [i] | ||
| 3 | Linear OOA(8126, 66, F8, 2, 113) (dual of [(66, 2), 6, 114]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(8125, 66, F8, 2, 112) (dual of [(66, 2), 7, 113]-NRT-code) | [i] | ||