Information on Result #909910
Linear OOA(4219, 111, F4, 2, 183) (dual of [(111, 2), 3, 184]-NRT-code), using juxtaposition based on
- linear OOA(43, 3, F4, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(43, 4, F4, 2, 3) (dual of [(4, 2), 5, 4]-NRT-code), using
- Reed–Solomon NRT-code RS(2;5,4) [i]
- discarding factors / shortening the dual code based on linear OOA(43, 4, F4, 2, 3) (dual of [(4, 2), 5, 4]-NRT-code), using
- linear OOA(4213, 108, F4, 2, 179) (dual of [(108, 2), 3, 180]-NRT-code), using
- repeating each code word 12 times [i] based on linear OOA(415, 9, F4, 2, 14) (dual of [(9, 2), 3, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,3P) [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(2;F,3P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- repeating each code word 12 times [i] based on linear OOA(415, 9, F4, 2, 14) (dual of [(9, 2), 3, 15]-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(4219, 111, F4, 2, 182) (dual of [(111, 2), 3, 183]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4219, 111, F4, 2, 181) (dual of [(111, 2), 3, 182]-NRT-code) | [i] | ||
| 3 | Linear OOA(4219, 111, F4, 2, 180) (dual of [(111, 2), 3, 181]-NRT-code) | [i] | ||
| 4 | Linear OOA(4219, 111, F4, 2, 179) (dual of [(111, 2), 3, 180]-NRT-code) | [i] | ||
| 5 | Linear OOA(4219, 111, F4, 2, 178) (dual of [(111, 2), 3, 179]-NRT-code) | [i] | ||
| 6 | Linear OOA(4219, 111, F4, 2, 177) (dual of [(111, 2), 3, 178]-NRT-code) | [i] | ||