Information on Result #915087
Linear OOA(2131, 168, F2, 2, 31) (dual of [(168, 2), 205, 32]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(3215, 28, F32, 2, 15) (dual of [(28, 2), 41, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3215, 32, F32, 2, 15) (dual of [(32, 2), 49, 16]-NRT-code), using
- Reed–Solomon NRT-code RS(2;49,32) [i]
- discarding factors / shortening the dual code based on linear OOA(3215, 32, F32, 2, 15) (dual of [(32, 2), 49, 16]-NRT-code), using
- linear OA(21, 6, F2, 1) (dual of [6, 5, 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(2131, 168, F2, 2, 30) (dual of [(168, 2), 205, 31]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2132, 168, F2, 2, 31) (dual of [(168, 2), 204, 32]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2130, 167, F2, 2, 30) (dual of [(167, 2), 204, 31]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(2131, 84, F2, 4, 31) (dual of [(84, 4), 205, 32]-NRT-code) | [i] | OOA Folding | |