Information on Result #1040442
Linear OOA(875, 68, F8, 3, 55) (dual of [(68, 3), 129, 56]-NRT-code), using construction X applied to AG(3;F,136P) ⊂ AG(3;F,143P) based on
- linear OOA(869, 64, F8, 3, 55) (dual of [(64, 3), 123, 56]-NRT-code), using algebraic-geometric NRT-code AG(3;F,136P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- the Suzuki function field over F8 [i]
- linear OOA(862, 64, F8, 3, 48) (dual of [(64, 3), 130, 49]-NRT-code), using algebraic-geometric NRT-code AG(3;F,143P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OOA(86, 4, F8, 3, 6) (dual of [(4, 3), 6, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(86, 8, F8, 3, 6) (dual of [(8, 3), 18, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(3;18,8) [i]
- discarding factors / shortening the dual code based on linear OOA(86, 8, F8, 3, 6) (dual of [(8, 3), 18, 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(2225, 204, F2, 3, 55) (dual of [(204, 3), 387, 56]-NRT-code) | [i] | Trace Code for OOAs | |