Information on Result #1027261
Linear OOA(4211, 73, F4, 3, 170) (dual of [(73, 3), 8, 171]-NRT-code), using juxtaposition based on
- linear OOA(449, 19, F4, 3, 42) (dual of [(19, 3), 8, 43]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(449, 21, F4, 3, 42) (dual of [(21, 3), 14, 43]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,20P) [i] based on function field F/F4 with g(F) = 7 and N(F) ≥ 21, using
- discarding factors / shortening the dual code based on linear OOA(449, 21, F4, 3, 42) (dual of [(21, 3), 14, 43]-NRT-code), using
- linear OOA(4154, 54, F4, 3, 127) (dual of [(54, 3), 8, 128]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(473, 27, F4, 3, 63) (dual of [(27, 3), 8, 64]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,17P) [i] based on function field F/F4 with g(F) = 10 and N(F) ≥ 27, using
- repeating each code word 2 times [i] based on linear OOA(473, 27, F4, 3, 63) (dual of [(27, 3), 8, 64]-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(4211, 73, F4, 3, 169) (dual of [(73, 3), 8, 170]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4211, 73, F4, 3, 168) (dual of [(73, 3), 8, 169]-NRT-code) | [i] | ||
| 3 | Linear OOA(4211, 73, F4, 3, 167) (dual of [(73, 3), 8, 168]-NRT-code) | [i] | ||
| 4 | Linear OOA(4211, 73, F4, 3, 166) (dual of [(73, 3), 8, 167]-NRT-code) | [i] | ||
| 5 | Linear OOA(4211, 73, F4, 3, 165) (dual of [(73, 3), 8, 166]-NRT-code) | [i] | ||