Information on Result #936896
Linear OOA(8161, 175, F81, 2, 50) (dual of [(175, 2), 289, 51]-NRT-code), using construction X applied to AG(2;F,291P) ⊂ AG(2;F,296P) based on
- linear OOA(8157, 171, F81, 2, 50) (dual of [(171, 2), 285, 51]-NRT-code), using algebraic-geometric NRT-code AG(2;F,291P) [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172, using
- linear OOA(8152, 171, F81, 2, 45) (dual of [(171, 2), 290, 46]-NRT-code), using algebraic-geometric NRT-code AG(2;F,296P) [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172 (see above)
- linear OOA(814, 4, F81, 2, 4) (dual of [(4, 2), 4, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(814, 81, F81, 2, 4) (dual of [(81, 2), 158, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(2;158,81) [i]
- discarding factors / shortening the dual code based on linear OOA(814, 81, F81, 2, 4) (dual of [(81, 2), 158, 5]-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(9122, 350, F9, 2, 50) (dual of [(350, 2), 578, 51]-NRT-code) | [i] | Trace Code for OOAs | |