Information on Result #927502
Linear OOA(997, 89, F9, 2, 64) (dual of [(89, 2), 81, 65]-NRT-code), using construction X applied to AG(2;F,81P) ⊂ AG(2;F,97P) based on
- linear OOA(981, 73, F9, 2, 64) (dual of [(73, 2), 65, 65]-NRT-code), using algebraic-geometric NRT-code AG(2;F,81P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74, using
- linear OOA(965, 73, F9, 2, 48) (dual of [(73, 2), 81, 49]-NRT-code), using algebraic-geometric NRT-code AG(2;F,97P) [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(997, 89, F9, 2, 63) (dual of [(89, 2), 81, 64]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(999, 90, F9, 2, 64) (dual of [(90, 2), 81, 65]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |