Information on Result #1091971
Linear OOA(3210, 68, F3, 4, 117) (dual of [(68, 4), 62, 118]-NRT-code), using construction X applied to AG(4;F,70P) ⊂ AG(4;F,106P) based on
- linear OOA(3162, 47, F3, 4, 117) (dual of [(47, 4), 26, 118]-NRT-code), using algebraic-geometric NRT-code AG(4;F,70P) [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(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(3210, 68, F3, 4, 116) (dual of [(68, 4), 62, 117]-NRT-code) | [i] | Strength Reduction for OOAs | |