Information on Result #1049400
Linear OOA(3224, 81, F3, 3, 147) (dual of [(81, 3), 19, 148]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(364, 27, F3, 3, 49) (dual of [(27, 3), 17, 50]-NRT-code), using
- algebraic-geometric NRT-code AG(3;F,31P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, using
- linear OOA(379, 27, F3, 3, 73) (dual of [(27, 3), 2, 74]-NRT-code), using
- 3 step truncation [i] based on linear OOA(382, 28, F3, 3, 76) (dual of [(28, 3), 2, 77]-NRT-code), using
- repeating each code word 7 times [i] based on linear OOA(310, 4, F3, 3, 10) (dual of [(4, 3), 2, 11]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;2,3) [i]
- repeating each code word 7 times [i] based on linear OOA(310, 4, F3, 3, 10) (dual of [(4, 3), 2, 11]-NRT-code), using
- 3 step truncation [i] based on linear OOA(382, 28, F3, 3, 76) (dual of [(28, 3), 2, 77]-NRT-code), using
- linear OOA(381, 27, F3, 3, 81) (dual of [(27, 3), 0, 82]-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(3224, 81, F3, 3, 146) (dual of [(81, 3), 19, 147]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3224, 81, F3, 3, 145) (dual of [(81, 3), 19, 146]-NRT-code) | [i] | ||
| 3 | Linear OOA(3224, 81, F3, 3, 144) (dual of [(81, 3), 19, 145]-NRT-code) | [i] | ||