Information on Result #1028633
Linear OOA(2250, 90, F2, 3, 143) (dual of [(90, 3), 20, 144]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(1625, 30, F16, 23) (dual of [30, 5, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(1625, 33, F16, 23) (dual of [33, 8, 24]-code), using
- extended algebraic-geometric code AGe(F,9P) [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- discarding factors / shortening the dual code based on linear OA(1625, 33, F16, 23) (dual of [33, 8, 24]-code), using
- linear OOA(25, 3, F2, 3, 5) (dual of [(3, 3), 4, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;4,2) [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(2250, 90, F2, 3, 142) (dual of [(90, 3), 20, 143]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2250, 90, F2, 3, 141) (dual of [(90, 3), 20, 142]-NRT-code) | [i] | ||
| 3 | Linear OOA(2250, 90, F2, 3, 140) (dual of [(90, 3), 20, 141]-NRT-code) | [i] | ||
| 4 | Linear OOA(2251, 90, F2, 3, 143) (dual of [(90, 3), 19, 144]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(2252, 90, F2, 3, 143) (dual of [(90, 3), 18, 144]-NRT-code) | [i] | ||
| 6 | Linear OOA(2249, 89, F2, 3, 142) (dual of [(89, 3), 18, 143]-NRT-code) | [i] | Truncation for OOAs | |
| 7 | Linear OOA(2248, 89, F2, 3, 141) (dual of [(89, 3), 19, 142]-NRT-code) | [i] | ||
| 8 | Linear OOA(2247, 89, F2, 3, 140) (dual of [(89, 3), 20, 141]-NRT-code) | [i] | ||