Information on Result #1090120
Linear OOA(3209, 60, F3, 4, 139) (dual of [(60, 4), 31, 140]-NRT-code), using construction X applied to AG(4;F,0P) ⊂ AG(4;F,56P) based on
- linear OOA(3139, 35, F3, 4, 139) (dual of [(35, 4), 1, 140]-NRT-code), using algebraic-geometric NRT-code AG(4;F,0P) [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36, using
- linear OOA(3109, 35, F3, 4, 83) (dual of [(35, 4), 31, 84]-NRT-code), using algebraic-geometric NRT-code AG(4;F,56P) [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36 (see above)
- linear OOA(370, 25, F3, 4, 55) (dual of [(25, 4), 30, 56]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(370, 28, F3, 4, 55) (dual of [(28, 4), 42, 56]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,56P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, using
- discarding factors / shortening the dual code based on linear OOA(370, 28, F3, 4, 55) (dual of [(28, 4), 42, 56]-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(3209, 60, F3, 4, 138) (dual of [(60, 4), 31, 139]-NRT-code) | [i] | Strength Reduction for OOAs | |