Information on Result #922440
Linear OOA(899, 74, F8, 2, 75) (dual of [(74, 2), 49, 76]-NRT-code), using construction X applied to AG(2;F,52P) ⊂ AG(2;F,62P) based on
- linear OOA(889, 64, F8, 2, 75) (dual of [(64, 2), 39, 76]-NRT-code), using algebraic-geometric NRT-code AG(2;F,52P) [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(879, 64, F8, 2, 65) (dual of [(64, 2), 49, 66]-NRT-code), using algebraic-geometric NRT-code AG(2;F,62P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OOA(810, 10, F8, 2, 9) (dual of [(10, 2), 10, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(810, 14, F8, 2, 9) (dual of [(14, 2), 18, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,18P) [i] based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, using
- discarding factors / shortening the dual code based on linear OOA(810, 14, F8, 2, 9) (dual of [(14, 2), 18, 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(8150, 139, F8, 2, 75) (dual of [(139, 2), 128, 76]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(899, 37, F8, 3, 75) (dual of [(37, 3), 12, 76]-NRT-code) | [i] | OOA Folding | |