Information on Result #1084565
Linear OOA(3238, 85, F3, 4, 113) (dual of [(85, 4), 102, 114]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(352, 28, F3, 4, 37) (dual of [(28, 4), 60, 38]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,74P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, using
- linear OOA(371, 28, F3, 4, 56) (dual of [(28, 4), 41, 57]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,55P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28 (see above)
- linear OOA(3115, 29, F3, 4, 113) (dual of [(29, 4), 1, 114]-NRT-code), using
- strength reduction [i] based on linear OOA(3115, 29, F3, 4, 115) (dual of [(29, 4), 1, 116]-NRT-code), using
- dual of repetition NRT-code with length 29 [i]
- strength reduction [i] based on linear OOA(3115, 29, F3, 4, 115) (dual of [(29, 4), 1, 116]-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(3238, 85, F3, 4, 112) (dual of [(85, 4), 102, 113]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3242, 86, F3, 4, 113) (dual of [(86, 4), 102, 114]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(3239, 85, F3, 4, 113) (dual of [(85, 4), 101, 114]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(3236, 84, F3, 4, 111) (dual of [(84, 4), 100, 112]-NRT-code) | [i] | Truncation for OOAs | |