Information on Result #1026232
Linear OOA(3212, 74, F3, 3, 155) (dual of [(74, 3), 10, 156]-NRT-code), using juxtaposition based on
- linear OOA(344, 18, F3, 3, 35) (dual of [(18, 3), 10, 36]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(344, 19, F3, 3, 35) (dual of [(19, 3), 13, 36]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,21P) [i] based on function field F/F3 with g(F) = 9 and N(F) ≥ 19, using
- discarding factors / shortening the dual code based on linear OOA(344, 19, F3, 3, 35) (dual of [(19, 3), 13, 36]-NRT-code), using
- linear OOA(3158, 56, F3, 3, 119) (dual of [(56, 3), 10, 120]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(374, 28, F3, 3, 59) (dual of [(28, 3), 10, 60]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,24P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, using
- repeating each code word 2 times [i] based on linear OOA(374, 28, F3, 3, 59) (dual of [(28, 3), 10, 60]-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(3212, 74, F3, 3, 154) (dual of [(74, 3), 10, 155]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3212, 74, F3, 3, 153) (dual of [(74, 3), 10, 154]-NRT-code) | [i] | ||
| 3 | Linear OOA(3212, 74, F3, 3, 152) (dual of [(74, 3), 10, 153]-NRT-code) | [i] | ||
| 4 | Linear OOA(3212, 74, F3, 3, 151) (dual of [(74, 3), 10, 152]-NRT-code) | [i] | ||
| 5 | Linear OOA(3212, 74, F3, 3, 150) (dual of [(74, 3), 10, 151]-NRT-code) | [i] | ||