Information on Result #937163
Linear OOA(8153, 375, F81, 2, 31) (dual of [(375, 2), 697, 32]-NRT-code), using construction X applied to AG(2;F,706P) ⊂ AG(2;F,713P) based on
- linear OOA(8147, 369, F81, 2, 31) (dual of [(369, 2), 691, 32]-NRT-code), using algebraic-geometric NRT-code AG(2;F,706P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OOA(8140, 369, F81, 2, 24) (dual of [(369, 2), 698, 25]-NRT-code), using algebraic-geometric NRT-code AG(2;F,713P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OOA(816, 6, F81, 2, 6) (dual of [(6, 2), 6, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(816, 81, F81, 2, 6) (dual of [(81, 2), 156, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(2;156,81) [i]
- discarding factors / shortening the dual code based on linear OOA(816, 81, F81, 2, 6) (dual of [(81, 2), 156, 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(9106, 750, F9, 2, 31) (dual of [(750, 2), 1394, 32]-NRT-code) | [i] | Trace Code for OOAs | |
| 2 | Linear OOA(8153, 375, F81, 3, 31) (dual of [(375, 3), 1072, 32]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(8153, 375, F81, 4, 31) (dual of [(375, 4), 1447, 32]-NRT-code) | [i] | ||
| 4 | Digital (22, 53, 375)-net over F81 | [i] | ||