Information on Result #915160
Linear OOA(2191, 198, F2, 2, 51) (dual of [(198, 2), 205, 52]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(3225, 33, F32, 2, 25) (dual of [(33, 2), 41, 26]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;41,32) [i]
- 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(2191, 198, F2, 2, 50) (dual of [(198, 2), 205, 51]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2193, 199, F2, 2, 51) (dual of [(199, 2), 205, 52]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2195, 200, F2, 2, 51) (dual of [(200, 2), 205, 52]-NRT-code) | [i] | ||
| 4 | Linear OOA(2197, 201, F2, 2, 51) (dual of [(201, 2), 205, 52]-NRT-code) | [i] | ||
| 5 | Linear OOA(2192, 198, F2, 2, 51) (dual of [(198, 2), 204, 52]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(2190, 197, F2, 2, 50) (dual of [(197, 2), 204, 51]-NRT-code) | [i] | Truncation for OOAs | |
| 7 | Linear OOA(2191, 99, F2, 4, 51) (dual of [(99, 4), 205, 52]-NRT-code) | [i] | OOA Folding | |