Information on Result #909914
Linear OOA(4255, 129, F4, 2, 213) (dual of [(129, 2), 3, 214]-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(4249, 126, F4, 2, 209) (dual of [(126, 2), 3, 210]-NRT-code), using
- repeating each code word 14 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 14 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(4255, 129, F4, 2, 212) (dual of [(129, 2), 3, 213]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4255, 129, F4, 2, 211) (dual of [(129, 2), 3, 212]-NRT-code) | [i] | ||
| 3 | Linear OOA(4255, 129, F4, 2, 210) (dual of [(129, 2), 3, 211]-NRT-code) | [i] | ||
| 4 | Linear OOA(4255, 129, F4, 2, 209) (dual of [(129, 2), 3, 210]-NRT-code) | [i] | ||
| 5 | Linear OOA(4255, 129, F4, 2, 208) (dual of [(129, 2), 3, 209]-NRT-code) | [i] | ||
| 6 | Linear OOA(4255, 129, F4, 2, 207) (dual of [(129, 2), 3, 208]-NRT-code) | [i] | ||
| 7 | Linear OOA(4255, 129, F4, 2, 206) (dual of [(129, 2), 3, 207]-NRT-code) | [i] | ||
| 8 | Linear OOA(4255, 129, F4, 2, 205) (dual of [(129, 2), 3, 206]-NRT-code) | [i] | ||
| 9 | Linear OOA(4255, 129, F4, 2, 204) (dual of [(129, 2), 3, 205]-NRT-code) | [i] | ||