Information on Result #1617508
Linear OOA(3136, 69, F3, 4, 75) (dual of [(69, 4), 140, 76]-NRT-code), using construction X applied to AG(4;F,176P) ⊂ AG(4;F,188P) based on
- linear OOA(3124, 63, F3, 4, 75) (dual of [(63, 4), 128, 76]-NRT-code), using algebraic-geometric NRT-code AG(4;F,176P) [i] based on function field F/F3 with g(F) = 49 and N(F) ≥ 64, using
- linear OOA(3112, 63, F3, 4, 63) (dual of [(63, 4), 140, 64]-NRT-code), using algebraic-geometric NRT-code AG(4;F,188P) [i] based on function field F/F3 with g(F) = 49 and N(F) ≥ 64 (see above)
- linear OOA(312, 6, F3, 4, 11) (dual of [(6, 4), 12, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(312, 7, F3, 4, 11) (dual of [(7, 4), 16, 12]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,16P) [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(312, 7, F3, 4, 11) (dual of [(7, 4), 16, 12]-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(3136, 69, F3, 4, 74) (dual of [(69, 4), 140, 75]-NRT-code) | [i] | Strength Reduction for OOAs | |