Information on Result #1081560
Linear OOA(3124, 56, F3, 4, 63) (dual of [(56, 4), 100, 64]-NRT-code), using (u, u+v)-construction based on
- linear OOA(346, 28, F3, 4, 31) (dual of [(28, 4), 66, 32]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,80P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, using
- linear OOA(378, 28, F3, 4, 63) (dual of [(28, 4), 34, 64]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,48P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28 (see above)
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(3124, 56, F3, 4, 62) (dual of [(56, 4), 100, 63]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3124, 56, F3, 4, 61) (dual of [(56, 4), 100, 62]-NRT-code) | [i] | ||
| 3 | Linear OOA(3128, 57, F3, 4, 63) (dual of [(57, 4), 100, 64]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 4 | Linear OOA(3125, 56, F3, 4, 63) (dual of [(56, 4), 99, 64]-NRT-code) | [i] | OOA Duplication | |