Information on Result #938140
Linear OOA(8135, 71, F8, 2, 119) (dual of [(71, 2), 7, 120]-NRT-code), using construction X applied to AG(2;F,8P) ⊂ AG(2;F,18P) based on
- linear OOA(8126, 64, F8, 2, 119) (dual of [(64, 2), 2, 120]-NRT-code), using algebraic-geometric NRT-code AG(2;F,8P) 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(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 (see above)
- linear OOA(89, 7, F8, 2, 9) (dual of [(7, 2), 5, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(89, 8, F8, 2, 9) (dual of [(8, 2), 7, 10]-NRT-code), using
- Reed–Solomon NRT-code RS(2;7,8) [i]
- discarding factors / shortening the dual code based on linear OOA(89, 8, F8, 2, 9) (dual of [(8, 2), 7, 10]-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(8135, 71, F8, 2, 118) (dual of [(71, 2), 7, 119]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(8133, 70, F8, 2, 117) (dual of [(70, 2), 7, 118]-NRT-code) | [i] | Truncation for OOAs | |