Information on Result #1092326
Linear OOA(8182, 375, F81, 4, 54) (dual of [(375, 4), 1418, 55]-NRT-code), using construction X applied to AG(4;F,1421P) ⊂ AG(4;F,1434P) based on
- linear OOA(8170, 369, F81, 4, 54) (dual of [(369, 4), 1406, 55]-NRT-code), using algebraic-geometric NRT-code AG(4;F,1421P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OOA(8157, 369, F81, 4, 41) (dual of [(369, 4), 1419, 42]-NRT-code), using algebraic-geometric NRT-code AG(4;F,1434P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OOA(8112, 6, F81, 4, 12) (dual of [(6, 4), 12, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8112, 81, F81, 4, 12) (dual of [(81, 4), 312, 13]-NRT-code), using
- Reed–Solomon NRT-code RS(4;312,81) [i]
- discarding factors / shortening the dual code based on linear OOA(8112, 81, F81, 4, 12) (dual of [(81, 4), 312, 13]-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(8182, 375, F81, 4, 53) (dual of [(375, 4), 1418, 54]-NRT-code) | [i] | Strength Reduction for OOAs | |