Information on Result #941694
Linear OOA(3223, 114, F3, 2, 168) (dual of [(114, 2), 5, 169]-NRT-code), using juxtaposition based on
- linear OOA(39, 7, F3, 2, 8) (dual of [(7, 2), 5, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,5P) [i] based on function field F/F3 with g(F) = 1 and N(F) ≥ 7, using
- linear OOA(3209, 107, F3, 2, 159) (dual of [(107, 2), 5, 160]-NRT-code), using
- 1 step truncation [i] based on linear OOA(3210, 108, F3, 2, 160) (dual of [(108, 2), 6, 161]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(924, 27, F9, 22) (dual of [27, 3, 23]-code), using
- algebraic-geometric code AG(F,4P) with known gap numbers [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using the Hermitian function field over F9 [i]
- linear OOA(36, 4, F3, 2, 6) (dual of [(4, 2), 2, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;2,3) [i]
- linear OA(924, 27, F9, 22) (dual of [27, 3, 23]-code), using
- concatenation of two NRT-codes [i] based on
- 1 step truncation [i] based on linear OOA(3210, 108, F3, 2, 160) (dual of [(108, 2), 6, 161]-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(3223, 114, F3, 2, 167) (dual of [(114, 2), 5, 168]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3223, 114, F3, 2, 166) (dual of [(114, 2), 5, 167]-NRT-code) | [i] | ||
| 3 | Linear OOA(3223, 114, F3, 2, 165) (dual of [(114, 2), 5, 166]-NRT-code) | [i] | ||
| 4 | Linear OOA(3223, 114, F3, 2, 164) (dual of [(114, 2), 5, 165]-NRT-code) | [i] | ||
| 5 | Linear OOA(3223, 114, F3, 2, 163) (dual of [(114, 2), 5, 164]-NRT-code) | [i] | ||
| 6 | Linear OOA(3223, 114, F3, 2, 162) (dual of [(114, 2), 5, 163]-NRT-code) | [i] | ||
| 7 | Linear OOA(3223, 114, F3, 2, 161) (dual of [(114, 2), 5, 162]-NRT-code) | [i] | ||
| 8 | Linear OOA(3223, 114, F3, 2, 160) (dual of [(114, 2), 5, 161]-NRT-code) | [i] | ||
| 9 | Linear OOA(3221, 113, F3, 2, 166) (dual of [(113, 2), 5, 167]-NRT-code) | [i] | Truncation for OOAs | |
| 10 | Linear OOA(3219, 112, F3, 2, 164) (dual of [(112, 2), 5, 165]-NRT-code) | [i] | ||
| 11 | Linear OOA(3223, 57, F3, 4, 168) (dual of [(57, 4), 5, 169]-NRT-code) | [i] | OOA Folding | |