Information on Result #1084412
Linear OOA(3243, 75, F3, 4, 137) (dual of [(75, 4), 57, 138]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(360, 25, F3, 4, 45) (dual of [(25, 4), 40, 46]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(360, 28, F3, 4, 45) (dual of [(28, 4), 52, 46]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,66P) [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(360, 28, F3, 4, 45) (dual of [(28, 4), 52, 46]-NRT-code), using
- linear OOA(383, 25, F3, 4, 68) (dual of [(25, 4), 17, 69]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(383, 28, F3, 4, 68) (dual of [(28, 4), 29, 69]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,43P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28 (see above)
- discarding factors / shortening the dual code based on linear OOA(383, 28, F3, 4, 68) (dual of [(28, 4), 29, 69]-NRT-code), using
- linear OOA(3100, 25, F3, 4, 100) (dual of [(25, 4), 0, 101]-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(3243, 75, F3, 4, 136) (dual of [(75, 4), 57, 137]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3243, 75, F3, 4, 135) (dual of [(75, 4), 57, 136]-NRT-code) | [i] | ||
| 3 | Linear OOA(3244, 75, F3, 4, 137) (dual of [(75, 4), 56, 138]-NRT-code) | [i] | OOA Duplication | |