Information on Result #1081566
Linear OOA(3126, 56, F3, 4, 64) (dual of [(56, 4), 98, 65]-NRT-code), using (u, u+v)-construction based on
- linear OOA(347, 28, F3, 4, 32) (dual of [(28, 4), 65, 33]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,79P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, using
- linear OOA(379, 28, F3, 4, 64) (dual of [(28, 4), 33, 65]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,47P) [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(3126, 56, F3, 4, 63) (dual of [(56, 4), 98, 64]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3126, 56, F3, 4, 62) (dual of [(56, 4), 98, 63]-NRT-code) | [i] | ||
| 3 | Linear OOA(3130, 57, F3, 4, 64) (dual of [(57, 4), 98, 65]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 4 | Linear OOA(3128, 56, F3, 4, 64) (dual of [(56, 4), 96, 65]-NRT-code) | [i] | OOA Duplication | |