Information on Result #1126715
Linear OOA(3245, 58, F3, 5, 171) (dual of [(58, 5), 45, 172]-NRT-code), using construction X applied to AG(5;F,63P) ⊂ AG(5;F,89P) based on
- linear OOA(3216, 47, F3, 5, 171) (dual of [(47, 5), 19, 172]-NRT-code), using algebraic-geometric NRT-code AG(5;F,63P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
- linear OOA(3190, 47, F3, 5, 145) (dual of [(47, 5), 45, 146]-NRT-code), using algebraic-geometric NRT-code AG(5;F,89P) [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(3245, 58, F3, 5, 170) (dual of [(58, 5), 45, 171]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3245, 58, F3, 5, 169) (dual of [(58, 5), 45, 170]-NRT-code) | [i] | ||