Information on Result #1091834
Linear OOA(3198, 65, F3, 4, 113) (dual of [(65, 4), 62, 114]-NRT-code), using construction X applied to AG(4;F,74P) ⊂ AG(4;F,106P) based on
- linear OOA(3158, 47, F3, 4, 113) (dual of [(47, 4), 30, 114]-NRT-code), using algebraic-geometric NRT-code AG(4;F,74P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
- linear OOA(3126, 47, F3, 4, 81) (dual of [(47, 4), 62, 82]-NRT-code), using algebraic-geometric NRT-code AG(4;F,106P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
- linear OOA(340, 18, F3, 4, 31) (dual of [(18, 4), 32, 32]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(340, 19, F3, 4, 31) (dual of [(19, 4), 36, 32]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,44P) [i] based on function field F/F3 with g(F) = 9 and N(F) ≥ 19, using
- discarding factors / shortening the dual code based on linear OOA(340, 19, F3, 4, 31) (dual of [(19, 4), 36, 32]-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(3198, 65, F3, 4, 112) (dual of [(65, 4), 62, 113]-NRT-code) | [i] | Strength Reduction for OOAs | |