Information on Result #922838
Linear OOA(8105, 78, F8, 2, 77) (dual of [(78, 2), 51, 78]-NRT-code), using construction X applied to AG(2;F,50P) ⊂ AG(2;F,64P) based on
- linear OOA(891, 64, F8, 2, 77) (dual of [(64, 2), 37, 78]-NRT-code), using algebraic-geometric NRT-code AG(2;F,50P) [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(877, 64, F8, 2, 63) (dual of [(64, 2), 51, 64]-NRT-code), using algebraic-geometric NRT-code AG(2;F,64P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OOA(814, 14, F8, 2, 13) (dual of [(14, 2), 14, 14]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,14P) [i] based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, 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(8105, 78, F8, 2, 76) (dual of [(78, 2), 51, 77]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(8107, 79, F8, 2, 77) (dual of [(79, 2), 51, 78]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(8105, 39, F8, 3, 77) (dual of [(39, 3), 12, 78]-NRT-code) | [i] | OOA Folding | |