Information on Result #1039762
Linear OOA(5123, 88, F5, 3, 68) (dual of [(88, 3), 141, 69]-NRT-code), using construction X applied to AG(3;F,162P) ⊂ AG(3;F,178P) based on
- linear OOA(5106, 77, F5, 3, 68) (dual of [(77, 3), 125, 69]-NRT-code), using algebraic-geometric NRT-code AG(3;F,162P) [i] based on function field F/F5 with g(F) = 38 and N(F) ≥ 78, using
- linear OOA(590, 77, F5, 3, 52) (dual of [(77, 3), 141, 53]-NRT-code), using algebraic-geometric NRT-code AG(3;F,178P) [i] based on function field F/F5 with g(F) = 38 and N(F) ≥ 78 (see above)
- linear OOA(517, 11, F5, 3, 15) (dual of [(11, 3), 16, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(517, 12, F5, 3, 15) (dual of [(12, 3), 19, 16]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,20P) [i] based on function field F/F5 with g(F) = 2 and N(F) ≥ 12, using
- discarding factors / shortening the dual code based on linear OOA(517, 12, F5, 3, 15) (dual of [(12, 3), 19, 16]-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(5123, 88, F5, 3, 67) (dual of [(88, 3), 141, 68]-NRT-code) | [i] | Strength Reduction for OOAs | |