Information on Result #912336
Linear OOA(3224, 116, F3, 2, 160) (dual of [(116, 2), 8, 161]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(925, 29, F9, 22) (dual of [29, 4, 23]-code), using
- construction X applied to AG(F,4P) ⊂ AG(F,6P) [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 OA(923, 27, F9, 20) (dual of [27, 4, 21]-code), using algebraic-geometric code AG(F,6P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28 (see above)
- linear OA(91, 2, F9, 1) (dual of [2, 1, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to AG(F,4P) ⊂ AG(F,6P) [i] based on
- 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]
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(3224, 116, F3, 2, 159) (dual of [(116, 2), 8, 160]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3224, 116, F3, 2, 158) (dual of [(116, 2), 8, 159]-NRT-code) | [i] | ||
| 3 | Linear OOA(3224, 116, F3, 2, 157) (dual of [(116, 2), 8, 158]-NRT-code) | [i] | ||
| 4 | Linear OOA(3224, 116, F3, 2, 156) (dual of [(116, 2), 8, 157]-NRT-code) | [i] | ||
| 5 | Linear OOA(3224, 116, F3, 2, 155) (dual of [(116, 2), 8, 156]-NRT-code) | [i] | ||
| 6 | Linear OOA(3224, 116, F3, 2, 154) (dual of [(116, 2), 8, 155]-NRT-code) | [i] | ||
| 7 | Linear OOA(3224, 116, F3, 2, 153) (dual of [(116, 2), 8, 154]-NRT-code) | [i] | ||
| 8 | Linear OOA(3224, 116, F3, 2, 152) (dual of [(116, 2), 8, 153]-NRT-code) | [i] | ||
| 9 | Linear OOA(3223, 115, F3, 2, 159) (dual of [(115, 2), 7, 160]-NRT-code) | [i] | Truncation for OOAs | |
| 10 | Linear OOA(3222, 115, F3, 2, 158) (dual of [(115, 2), 8, 159]-NRT-code) | [i] | ||
| 11 | Linear OOA(3221, 114, F3, 2, 157) (dual of [(114, 2), 7, 158]-NRT-code) | [i] | ||
| 12 | Linear OOA(3220, 114, F3, 2, 156) (dual of [(114, 2), 8, 157]-NRT-code) | [i] | ||
| 13 | Linear OOA(3218, 113, F3, 2, 154) (dual of [(113, 2), 8, 155]-NRT-code) | [i] | ||
| 14 | Linear OOA(3224, 58, F3, 4, 160) (dual of [(58, 4), 8, 161]-NRT-code) | [i] | OOA Folding | |