Information on Result #1028452
Linear OOA(288, 36, F2, 3, 47) (dual of [(36, 3), 20, 48]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(167, 12, F16, 7) (dual of [12, 5, 8]-code or 12-arc in PG(6,16)), using
- discarding factors / shortening the dual code based on linear OA(167, 16, F16, 7) (dual of [16, 9, 8]-code or 16-arc in PG(6,16)), using
- Reed–Solomon code RS(9,16) [i]
- discarding factors / shortening the dual code based on linear OA(167, 16, F16, 7) (dual of [16, 9, 8]-code or 16-arc in PG(6,16)), 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(288, 36, F2, 3, 46) (dual of [(36, 3), 20, 47]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(288, 36, F2, 3, 45) (dual of [(36, 3), 20, 46]-NRT-code) | [i] | ||
| 3 | Linear OOA(289, 36, F2, 3, 47) (dual of [(36, 3), 19, 48]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(287, 35, F2, 3, 46) (dual of [(35, 3), 18, 47]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(288, 18, F2, 6, 47) (dual of [(18, 6), 20, 48]-NRT-code) | [i] | OOA Folding | |