Information on Result #938122
Linear OOA(8124, 67, F8, 2, 109) (dual of [(67, 2), 10, 110]-NRT-code), using construction X applied to AG(2;F,18P) ⊂ AG(2;F,22P) 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(8118, 64, F8, 2, 105) (dual of [(64, 2), 10, 106]-NRT-code), using algebraic-geometric NRT-code AG(2;F,22P) with known gap numbers [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OOA(83, 3, F8, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(83, 8, F8, 2, 3) (dual of [(8, 2), 13, 4]-NRT-code), using
- Reed–Solomon NRT-code RS(2;13,8) [i]
- discarding factors / shortening the dual code based on linear OOA(83, 8, F8, 2, 3) (dual of [(8, 2), 13, 4]-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(8124, 67, F8, 2, 108) (dual of [(67, 2), 10, 109]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(8122, 66, F8, 2, 107) (dual of [(66, 2), 10, 108]-NRT-code) | [i] | Truncation for OOAs | |