Information on Result #1091989
Linear OOA(3192, 68, F3, 4, 99) (dual of [(68, 4), 80, 100]-NRT-code), using construction X applied to AG(4;F,88P) ⊂ AG(4;F,124P) based on
- linear OOA(3144, 47, F3, 4, 99) (dual of [(47, 4), 44, 100]-NRT-code), using algebraic-geometric NRT-code AG(4;F,88P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
- linear OOA(3108, 47, F3, 4, 63) (dual of [(47, 4), 80, 64]-NRT-code), using algebraic-geometric NRT-code AG(4;F,124P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
- linear OOA(348, 21, F3, 4, 35) (dual of [(21, 4), 36, 36]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(348, 24, F3, 4, 35) (dual of [(24, 4), 48, 36]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,60P) [i] based on function field F/F3 with g(F) = 13 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OOA(348, 24, F3, 4, 35) (dual of [(24, 4), 48, 36]-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(3192, 68, F3, 4, 98) (dual of [(68, 4), 80, 99]-NRT-code) | [i] | Strength Reduction for OOAs | |