Information on Result #927510
Linear OOA(989, 89, F9, 2, 56) (dual of [(89, 2), 89, 57]-NRT-code), using construction X applied to AG(2;F,89P) ⊂ AG(2;F,105P) based on
- linear OOA(973, 73, F9, 2, 56) (dual of [(73, 2), 73, 57]-NRT-code), using algebraic-geometric NRT-code AG(2;F,89P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74, using
- linear OOA(957, 73, F9, 2, 40) (dual of [(73, 2), 89, 41]-NRT-code), using algebraic-geometric NRT-code AG(2;F,105P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74 (see above)
- linear OOA(916, 16, F9, 2, 15) (dual of [(16, 2), 16, 16]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,16P) [i] based on function field F/F9 with g(F) = 1 and N(F) ≥ 16, 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(989, 89, F9, 2, 55) (dual of [(89, 2), 89, 56]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(991, 90, F9, 2, 56) (dual of [(90, 2), 89, 57]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(3178, 178, F3, 2, 56) (dual of [(178, 2), 178, 57]-NRT-code) | [i] | Trace Code for OOAs | |