Information on Result #1655557
Linear OOA(3239, 68, F3, 5, 177) (dual of [(68, 5), 101, 178]-NRT-code), using construction X applied to AG(5;F,137P) ⊂ AG(5;F,150P) based on
- linear OOA(3226, 63, F3, 5, 177) (dual of [(63, 5), 89, 178]-NRT-code), using algebraic-geometric NRT-code AG(5;F,137P) [i] based on function field F/F3 with g(F) = 49 and N(F) ≥ 64, using
- linear OOA(3213, 63, F3, 5, 164) (dual of [(63, 5), 102, 165]-NRT-code), using algebraic-geometric NRT-code AG(5;F,150P) [i] based on function field F/F3 with g(F) = 49 and N(F) ≥ 64 (see above)
- linear OOA(313, 5, F3, 5, 12) (dual of [(5, 5), 12, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(313, 7, F3, 5, 12) (dual of [(7, 5), 22, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,22P) [i] based on function field F/F3 with g(F) = 1 and N(F) ≥ 7, using
- discarding factors / shortening the dual code based on linear OOA(313, 7, F3, 5, 12) (dual of [(7, 5), 22, 13]-NRT-code), using
Mode: 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(3239, 68, F3, 5, 176) (dual of [(68, 5), 101, 177]-NRT-code) | [i] | Strength Reduction for OOAs | |