Information on Result #938113
Linear OOA(8123, 66, F8, 2, 109) (dual of [(66, 2), 9, 110]-NRT-code), using construction X applied to AG(2;F,18P) ⊂ AG(2;F,21P) based on
- linear OOA(8121, 64, F8, 2, 109) (dual of [(64, 2), 7, 110]-NRT-code), using algebraic-geometric NRT-code AG(2;F,18P) with known gap numbers [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(8119, 64, F8, 2, 106) (dual of [(64, 2), 9, 107]-NRT-code), using algebraic-geometric NRT-code AG(2;F,21P) with known gap numbers [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OOA(82, 2, F8, 2, 2) (dual of [(2, 2), 2, 3]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(82, 8, F8, 2, 2) (dual of [(8, 2), 14, 3]-NRT-code), using
- Reed–Solomon NRT-code RS(2;14,8) [i]
- discarding factors / shortening the dual code based on linear OOA(82, 8, F8, 2, 2) (dual of [(8, 2), 14, 3]-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(8123, 66, F8, 2, 108) (dual of [(66, 2), 9, 109]-NRT-code) | [i] | Strength Reduction for OOAs | |