Information on Result #912331
Linear OOA(3204, 104, F3, 2, 160) (dual of [(104, 2), 4, 161]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(924, 26, F9, 22) (dual of [26, 2, 23]-code), using
- discarding factors / shortening the dual code 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]
- discarding factors / shortening the dual code based on linear OA(924, 27, F9, 22) (dual of [27, 3, 23]-code), using
- 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(3204, 104, F3, 2, 159) (dual of [(104, 2), 4, 160]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3204, 104, F3, 2, 158) (dual of [(104, 2), 4, 159]-NRT-code) | [i] | ||
| 3 | Linear OOA(3204, 104, F3, 2, 157) (dual of [(104, 2), 4, 158]-NRT-code) | [i] | ||
| 4 | Linear OOA(3204, 104, F3, 2, 156) (dual of [(104, 2), 4, 157]-NRT-code) | [i] | ||
| 5 | Linear OOA(3204, 104, F3, 2, 155) (dual of [(104, 2), 4, 156]-NRT-code) | [i] | ||
| 6 | Linear OOA(3202, 103, F3, 2, 158) (dual of [(103, 2), 4, 159]-NRT-code) | [i] | Truncation for OOAs | |
| 7 | Linear OOA(3200, 102, F3, 2, 156) (dual of [(102, 2), 4, 157]-NRT-code) | [i] | ||
| 8 | Linear OOA(3204, 52, F3, 4, 160) (dual of [(52, 4), 4, 161]-NRT-code) | [i] | OOA Folding | |