Information on Result #928429
Linear OOA(9126, 109, F9, 2, 70) (dual of [(109, 2), 92, 71]-NRT-code), using construction X applied to AG(2;F,75P) ⊂ AG(2;F,108P) based on
- linear OOA(987, 73, F9, 2, 70) (dual of [(73, 2), 59, 71]-NRT-code), using algebraic-geometric NRT-code AG(2;F,75P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74, using
- linear OOA(954, 73, F9, 2, 37) (dual of [(73, 2), 92, 38]-NRT-code), using algebraic-geometric NRT-code AG(2;F,108P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74 (see above)
- linear OOA(939, 36, F9, 2, 32) (dual of [(36, 2), 33, 33]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,39P) [i] based on function field F/F9 with g(F) = 7 and N(F) ≥ 36, 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(9126, 109, F9, 2, 69) (dual of [(109, 2), 92, 70]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(9128, 110, F9, 2, 70) (dual of [(110, 2), 92, 71]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |