Information on Result #1126785
Linear OOA(3175, 58, F3, 5, 101) (dual of [(58, 5), 115, 102]-NRT-code), using construction X applied to AG(5;F,133P) ⊂ AG(5;F,159P) based on
- linear OOA(3146, 47, F3, 5, 101) (dual of [(47, 5), 89, 102]-NRT-code), using algebraic-geometric NRT-code AG(5;F,133P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
- linear OOA(3120, 47, F3, 5, 75) (dual of [(47, 5), 115, 76]-NRT-code), using algebraic-geometric NRT-code AG(5;F,159P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
- linear OOA(329, 11, F3, 5, 25) (dual of [(11, 5), 26, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(329, 12, F3, 5, 25) (dual of [(12, 5), 31, 26]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,34P) [i] based on function field F/F3 with g(F) = 4 and N(F) ≥ 12, using
- discarding factors / shortening the dual code based on linear OOA(329, 12, F3, 5, 25) (dual of [(12, 5), 31, 26]-NRT-code), 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(3175, 58, F3, 5, 100) (dual of [(58, 5), 115, 101]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3175, 58, F3, 5, 99) (dual of [(58, 5), 115, 100]-NRT-code) | [i] | ||