Information on Result #1126170
Linear OOA(3147, 52, F3, 5, 89) (dual of [(52, 5), 113, 90]-NRT-code), using construction X applied to AG(5;F,145P) ⊂ AG(5;F,158P) based on
- linear OOA(3134, 47, F3, 5, 89) (dual of [(47, 5), 101, 90]-NRT-code), using algebraic-geometric NRT-code AG(5;F,145P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
- linear OOA(3121, 47, F3, 5, 76) (dual of [(47, 5), 114, 77]-NRT-code), using algebraic-geometric NRT-code AG(5;F,158P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
- linear OOA(313, 5, F3, 5, 12) (dual of [(5, 5), 12, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(313, 7, F3, 5, 12) (dual of [(7, 5), 22, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,22P) [i] based on function field F/F3 with g(F) = 1 and N(F) ≥ 7, using
- discarding factors / shortening the dual code based on linear OOA(313, 7, F3, 5, 12) (dual of [(7, 5), 22, 13]-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(3147, 52, F3, 5, 88) (dual of [(52, 5), 113, 89]-NRT-code) | [i] | Strength Reduction for OOAs | |