Information on Result #922120
Linear OOA(8103, 70, F8, 2, 83) (dual of [(70, 2), 37, 84]-NRT-code), using construction X applied to AG(2;F,44P) ⊂ AG(2;F,51P) based on
- linear OOA(897, 64, F8, 2, 83) (dual of [(64, 2), 31, 84]-NRT-code), using algebraic-geometric NRT-code AG(2;F,44P) [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(890, 64, F8, 2, 76) (dual of [(64, 2), 38, 77]-NRT-code), using algebraic-geometric NRT-code AG(2;F,51P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OOA(86, 6, F8, 2, 6) (dual of [(6, 2), 6, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(86, 8, F8, 2, 6) (dual of [(8, 2), 10, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(2;10,8) [i]
- discarding factors / shortening the dual code based on linear OOA(86, 8, F8, 2, 6) (dual of [(8, 2), 10, 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(8158, 135, F8, 2, 83) (dual of [(135, 2), 112, 84]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(8163, 139, F8, 2, 83) (dual of [(139, 2), 115, 84]-NRT-code) | [i] | ||
| 3 | Linear OOA(8164, 140, F8, 2, 83) (dual of [(140, 2), 116, 84]-NRT-code) | [i] | ||