Information on Result #1027425
Linear OOA(4223, 76, F4, 3, 187) (dual of [(76, 3), 5, 188]-NRT-code), using juxtaposition based on
- linear OOA(413, 6, F4, 3, 12) (dual of [(6, 3), 5, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(413, 9, F4, 3, 12) (dual of [(9, 3), 14, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,14P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- the Hermitian function field over F4 [i]
- extended algebraic-geometric NRT-code AGe(3;F,14P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- discarding factors / shortening the dual code based on linear OOA(413, 9, F4, 3, 12) (dual of [(9, 3), 14, 13]-NRT-code), using
- linear OOA(4205, 70, F4, 3, 174) (dual of [(70, 3), 5, 175]-NRT-code), using
- repeating each code word 5 times [i] 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
- repeating each code word 5 times [i] based on linear OOA(437, 14, F4, 3, 34) (dual of [(14, 3), 5, 35]-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(4223, 76, F4, 3, 186) (dual of [(76, 3), 5, 187]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4223, 76, F4, 3, 185) (dual of [(76, 3), 5, 186]-NRT-code) | [i] | ||
| 3 | Linear OOA(4223, 76, F4, 3, 184) (dual of [(76, 3), 5, 185]-NRT-code) | [i] | ||
| 4 | Linear OOA(4223, 76, F4, 3, 183) (dual of [(76, 3), 5, 184]-NRT-code) | [i] | ||
| 5 | Linear OOA(4223, 76, F4, 3, 182) (dual of [(76, 3), 5, 183]-NRT-code) | [i] | ||
| 6 | Linear OOA(4223, 76, F4, 3, 181) (dual of [(76, 3), 5, 182]-NRT-code) | [i] | ||
| 7 | Linear OOA(4223, 76, F4, 3, 180) (dual of [(76, 3), 5, 181]-NRT-code) | [i] | ||