Information on Result #922036
Linear OOA(893, 69, F8, 2, 74) (dual of [(69, 2), 45, 75]-NRT-code), using construction X applied to AG(2;F,53P) ⊂ AG(2;F,59P) based on
- 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, using
- the Suzuki function field over F8 [i]
- linear OOA(882, 64, F8, 2, 68) (dual of [(64, 2), 46, 69]-NRT-code), using algebraic-geometric NRT-code AG(2;F,59P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OOA(85, 5, F8, 2, 5) (dual of [(5, 2), 5, 6]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(85, 8, F8, 2, 5) (dual of [(8, 2), 11, 6]-NRT-code), using
- Reed–Solomon NRT-code RS(2;11,8) [i]
- discarding factors / shortening the dual code based on linear OOA(85, 8, F8, 2, 5) (dual of [(8, 2), 11, 6]-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(8144, 134, F8, 2, 74) (dual of [(134, 2), 124, 75]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(8148, 137, F8, 2, 74) (dual of [(137, 2), 126, 75]-NRT-code) | [i] | ||
| 3 | Linear OOA(8149, 138, F8, 2, 74) (dual of [(138, 2), 127, 75]-NRT-code) | [i] | ||