Information on Result #1093649
Linear OOA(3245, 87, F3, 4, 113) (dual of [(87, 4), 103, 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(3122, 31, F3, 4, 113) (dual of [(31, 4), 2, 114]-NRT-code), using
- 36 step truncation [i] based on linear OOA(3158, 40, F3, 4, 149) (dual of [(40, 4), 2, 150]-NRT-code), using
- repeating each code word 10 times [i] based on linear OOA(314, 4, F3, 4, 14) (dual of [(4, 4), 2, 15]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;2,3) [i]
- repeating each code word 10 times [i] based on linear OOA(314, 4, F3, 4, 14) (dual of [(4, 4), 2, 15]-NRT-code), using
- 36 step truncation [i] based on linear OOA(3158, 40, F3, 4, 149) (dual of [(40, 4), 2, 150]-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(3245, 87, F3, 4, 112) (dual of [(87, 4), 103, 113]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3245, 87, F3, 4, 111) (dual of [(87, 4), 103, 112]-NRT-code) | [i] | ||
| 3 | Linear OOA(3246, 87, F3, 4, 113) (dual of [(87, 4), 102, 114]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(3244, 86, F3, 4, 112) (dual of [(86, 4), 100, 113]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(3243, 86, F3, 4, 111) (dual of [(86, 4), 101, 112]-NRT-code) | [i] | ||
| 6 | Linear OOA(3242, 86, F3, 4, 110) (dual of [(86, 4), 102, 111]-NRT-code) | [i] | ||