Information on Result #914561
Linear OOA(286, 85, F2, 2, 27) (dual of [(85, 2), 84, 28]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(1613, 17, F16, 2, 13) (dual of [(17, 2), 21, 14]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;21,16) [i]
- linear OA(21, 5, F2, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(286, 85, F2, 2, 26) (dual of [(85, 2), 84, 27]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(288, 86, F2, 2, 27) (dual of [(86, 2), 84, 28]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(290, 87, F2, 2, 27) (dual of [(87, 2), 84, 28]-NRT-code) | [i] | ||
| 4 | Linear OOA(287, 85, F2, 2, 27) (dual of [(85, 2), 83, 28]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(285, 84, F2, 2, 26) (dual of [(84, 2), 83, 27]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(286, 42, F2, 4, 27) (dual of [(42, 4), 82, 28]-NRT-code) | [i] | OOA Folding | |