Information on Result #1046727
Linear OOA(8154, 373, F81, 3, 32) (dual of [(373, 3), 1065, 33]-NRT-code), using construction X applied to AG(3;F,1074P) ⊂ AG(3;F,1081P) based on
- linear OOA(8148, 369, F81, 3, 32) (dual of [(369, 3), 1059, 33]-NRT-code), using algebraic-geometric NRT-code AG(3;F,1074P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OOA(8141, 369, F81, 3, 25) (dual of [(369, 3), 1066, 26]-NRT-code), using algebraic-geometric NRT-code AG(3;F,1081P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OOA(816, 4, F81, 3, 6) (dual of [(4, 3), 6, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(816, 81, F81, 3, 6) (dual of [(81, 3), 237, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(3;237,81) [i]
- discarding factors / shortening the dual code based on linear OOA(816, 81, F81, 3, 6) (dual of [(81, 3), 237, 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(9108, 746, F9, 3, 32) (dual of [(746, 3), 2130, 33]-NRT-code) | [i] | Trace Code for OOAs | |
| 2 | Linear OOA(8154, 373, F81, 4, 32) (dual of [(373, 4), 1438, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Digital (22, 54, 373)-net over F81 | [i] | ||