Information on Result #1092210
Linear OOA(8172, 372, F81, 4, 50) (dual of [(372, 4), 1416, 51]-NRT-code), using construction X applied to AG(4;F,1425P) ⊂ AG(4;F,1432P) based on
- linear OOA(8166, 369, F81, 4, 50) (dual of [(369, 4), 1410, 51]-NRT-code), using algebraic-geometric NRT-code AG(4;F,1425P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OOA(8159, 369, F81, 4, 43) (dual of [(369, 4), 1417, 44]-NRT-code), using algebraic-geometric NRT-code AG(4;F,1432P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OOA(816, 3, F81, 4, 6) (dual of [(3, 4), 6, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(816, 81, F81, 4, 6) (dual of [(81, 4), 318, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(4;318,81) [i]
- discarding factors / shortening the dual code based on linear OOA(816, 81, F81, 4, 6) (dual of [(81, 4), 318, 7]-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(8172, 372, F81, 4, 49) (dual of [(372, 4), 1416, 50]-NRT-code) | [i] | Strength Reduction for OOAs | |