Information on Result #1568770
Linear OOA(4196, 67, F4, 3, 166) (dual of [(67, 3), 5, 167]-NRT-code), using juxtaposition based on
- linear OOA(437, 14, F4, 3, 34) (dual of [(14, 3), 5, 35]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,7P) [i] based on function field F/F4 with g(F) = 3 and N(F) ≥ 14, using
- linear OOA(4154, 53, F4, 3, 131) (dual of [(53, 3), 5, 132]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(434, 13, F4, 3, 31) (dual of [(13, 3), 5, 32]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(434, 14, F4, 3, 31) (dual of [(14, 3), 8, 32]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,10P) [i] based on function field F/F4 with g(F) = 3 and N(F) ≥ 14 (see above)
- discarding factors / shortening the dual code based on linear OOA(434, 14, F4, 3, 31) (dual of [(14, 3), 8, 32]-NRT-code), using
- linear OOA(4115, 40, F4, 3, 99) (dual of [(40, 3), 5, 100]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(455, 20, F4, 3, 49) (dual of [(20, 3), 5, 50]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,10P) [i] based on function field F/F4 with g(F) = 6 and N(F) ≥ 20, using
- repeating each code word 2 times [i] based on linear OOA(455, 20, F4, 3, 49) (dual of [(20, 3), 5, 50]-NRT-code), using
- linear OOA(434, 13, F4, 3, 31) (dual of [(13, 3), 5, 32]-NRT-code), using
- juxtaposition [i] based on
Mode: 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(4238, 81, F4, 3, 201) (dual of [(81, 3), 5, 202]-NRT-code) | [i] | Juxtaposition for OOAs | |