Information on Result #923252
Linear OOA(8103, 84, F8, 2, 68) (dual of [(84, 2), 65, 69]-NRT-code), using construction X applied to AG(2;F,59P) ⊂ AG(2;F,78P) based on
- linear OOA(882, 64, F8, 2, 68) (dual of [(64, 2), 46, 69]-NRT-code), using algebraic-geometric NRT-code AG(2;F,59P) [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(863, 64, F8, 2, 49) (dual of [(64, 2), 65, 50]-NRT-code), using algebraic-geometric NRT-code AG(2;F,78P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OOA(821, 20, F8, 2, 18) (dual of [(20, 2), 19, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(821, 24, F8, 2, 18) (dual of [(24, 2), 27, 19]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,29P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- extended algebraic-geometric NRT-code AGe(2;F,29P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OOA(821, 24, F8, 2, 18) (dual of [(24, 2), 27, 19]-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(8103, 42, F8, 3, 68) (dual of [(42, 3), 23, 69]-NRT-code) | [i] | OOA Folding | |