Information on Result #922212
Linear OOA(8103, 71, F8, 2, 82) (dual of [(71, 2), 39, 83]-NRT-code), using construction X applied to AG(2;F,45P) ⊂ AG(2;F,53P) based on
- linear OOA(896, 64, F8, 2, 82) (dual of [(64, 2), 32, 83]-NRT-code), using algebraic-geometric NRT-code AG(2;F,45P) [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(888, 64, F8, 2, 74) (dual of [(64, 2), 40, 75]-NRT-code), using algebraic-geometric NRT-code AG(2;F,53P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OOA(87, 7, F8, 2, 7) (dual of [(7, 2), 7, 8]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(87, 8, F8, 2, 7) (dual of [(8, 2), 9, 8]-NRT-code), using
- Reed–Solomon NRT-code RS(2;9,8) [i]
- discarding factors / shortening the dual code based on linear OOA(87, 8, F8, 2, 7) (dual of [(8, 2), 9, 8]-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(8158, 136, F8, 2, 82) (dual of [(136, 2), 114, 83]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(8164, 141, F8, 2, 82) (dual of [(141, 2), 118, 83]-NRT-code) | [i] | ||
| 3 | Linear OOA(8165, 142, F8, 2, 82) (dual of [(142, 2), 119, 83]-NRT-code) | [i] | ||