Information on Result #1092267
Linear OOA(8179, 373, F81, 4, 55) (dual of [(373, 4), 1413, 56]-NRT-code), using construction X applied to AG(4;F,1420P) ⊂ AG(4;F,1429P) based on
- linear OOA(8171, 369, F81, 4, 55) (dual of [(369, 4), 1405, 56]-NRT-code), using algebraic-geometric NRT-code AG(4;F,1420P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OOA(8162, 369, F81, 4, 46) (dual of [(369, 4), 1414, 47]-NRT-code), using algebraic-geometric NRT-code AG(4;F,1429P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OOA(818, 4, F81, 4, 8) (dual of [(4, 4), 8, 9]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(818, 81, F81, 4, 8) (dual of [(81, 4), 316, 9]-NRT-code), using
- Reed–Solomon NRT-code RS(4;316,81) [i]
- discarding factors / shortening the dual code based on linear OOA(818, 81, F81, 4, 8) (dual of [(81, 4), 316, 9]-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(8179, 373, F81, 4, 54) (dual of [(373, 4), 1413, 55]-NRT-code) | [i] | Strength Reduction for OOAs | |