Information on Result #927478
Linear OOA(9121, 89, F9, 2, 88) (dual of [(89, 2), 57, 89]-NRT-code), using construction X applied to AG(2;F,57P) ⊂ AG(2;F,73P) based on
- linear OOA(9105, 73, F9, 2, 88) (dual of [(73, 2), 41, 89]-NRT-code), using algebraic-geometric NRT-code AG(2;F,57P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74, using
- linear OOA(989, 73, F9, 2, 72) (dual of [(73, 2), 57, 73]-NRT-code), using algebraic-geometric NRT-code AG(2;F,73P) [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(9121, 89, F9, 2, 87) (dual of [(89, 2), 57, 88]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(9123, 90, F9, 2, 88) (dual of [(90, 2), 57, 89]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |