Information on Result #1092128
Linear OOA(3218, 73, F3, 4, 114) (dual of [(73, 4), 74, 115]-NRT-code), using construction X applied to AG(4;F,73P) ⊂ AG(4;F,118P) based on
- linear OOA(3159, 47, F3, 4, 114) (dual of [(47, 4), 29, 115]-NRT-code), using algebraic-geometric NRT-code AG(4;F,73P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
- linear OOA(3114, 47, F3, 4, 69) (dual of [(47, 4), 74, 70]-NRT-code), using algebraic-geometric NRT-code AG(4;F,118P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
- linear OOA(359, 26, F3, 4, 44) (dual of [(26, 4), 45, 45]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(359, 28, F3, 4, 44) (dual of [(28, 4), 53, 45]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,67P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, using
- discarding factors / shortening the dual code based on linear OOA(359, 28, F3, 4, 44) (dual of [(28, 4), 53, 45]-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(3218, 73, F3, 4, 113) (dual of [(73, 4), 74, 114]-NRT-code) | [i] | Strength Reduction for OOAs | |