Information on Result #1091962
Linear OOA(3219, 68, F3, 4, 126) (dual of [(68, 4), 53, 127]-NRT-code), using construction X applied to AG(4;F,61P) ⊂ AG(4;F,97P) based on
- linear OOA(3171, 47, F3, 4, 126) (dual of [(47, 4), 17, 127]-NRT-code), using algebraic-geometric NRT-code AG(4;F,61P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
- linear OOA(3135, 47, F3, 4, 90) (dual of [(47, 4), 53, 91]-NRT-code), using algebraic-geometric NRT-code AG(4;F,97P) [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(3219, 68, F3, 4, 125) (dual of [(68, 4), 53, 126]-NRT-code) | [i] | Strength Reduction for OOAs | |