Information on Result #906819
Linear OOA(3216, 1056, F32, 2, 7) (dual of [(1056, 2), 2096, 8]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(320, 33, F32, 2, 0) (dual of [(33, 2), 66, 1]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(320, s, F32, 2, 0) for arbitrarily large s, using
- linear OOA(320, 33, F32, 2, 0) (dual of [(33, 2), 66, 1]-NRT-code) (see above)
- linear OOA(320, 33, F32, 2, 0) (dual of [(33, 2), 66, 1]-NRT-code) (see above)
- linear OOA(320, 33, F32, 2, 0) (dual of [(33, 2), 66, 1]-NRT-code) (see above)
- linear OOA(320, 33, F32, 2, 0) (dual of [(33, 2), 66, 1]-NRT-code) (see above)
- linear OOA(320, 33, F32, 2, 0) (dual of [(33, 2), 66, 1]-NRT-code) (see above)
- linear OOA(320, 33, F32, 2, 0) (dual of [(33, 2), 66, 1]-NRT-code) (see above)
- linear OOA(320, 33, F32, 2, 0) (dual of [(33, 2), 66, 1]-NRT-code) (see above)
- linear OOA(320, 33, F32, 2, 0) (dual of [(33, 2), 66, 1]-NRT-code) (see above)
- linear OOA(320, 33, F32, 2, 0) (dual of [(33, 2), 66, 1]-NRT-code) (see above)
- linear OOA(320, 33, F32, 2, 0) (dual of [(33, 2), 66, 1]-NRT-code) (see above)
- linear OOA(320, 33, F32, 2, 0) (dual of [(33, 2), 66, 1]-NRT-code) (see above)
- linear OOA(320, 33, F32, 2, 0) (dual of [(33, 2), 66, 1]-NRT-code) (see above)
- linear OOA(320, 33, F32, 2, 0) (dual of [(33, 2), 66, 1]-NRT-code) (see above)
- linear OOA(320, 33, F32, 2, 0) (dual of [(33, 2), 66, 1]-NRT-code) (see above)
- linear OOA(320, 33, F32, 2, 0) (dual of [(33, 2), 66, 1]-NRT-code) (see above)
- linear OOA(320, 33, F32, 2, 0) (dual of [(33, 2), 66, 1]-NRT-code) (see above)
- linear OOA(320, 33, F32, 2, 0) (dual of [(33, 2), 66, 1]-NRT-code) (see above)
- linear OOA(320, 33, F32, 2, 0) (dual of [(33, 2), 66, 1]-NRT-code) (see above)
- linear OOA(320, 33, F32, 2, 0) (dual of [(33, 2), 66, 1]-NRT-code) (see above)
- linear OOA(320, 33, F32, 2, 0) (dual of [(33, 2), 66, 1]-NRT-code) (see above)
- linear OOA(320, 33, F32, 2, 0) (dual of [(33, 2), 66, 1]-NRT-code) (see above)
- linear OOA(320, 33, F32, 2, 0) (dual of [(33, 2), 66, 1]-NRT-code) (see above)
- linear OOA(320, 33, F32, 2, 0) (dual of [(33, 2), 66, 1]-NRT-code) (see above)
- linear OOA(320, 33, F32, 2, 0) (dual of [(33, 2), 66, 1]-NRT-code) (see above)
- linear OOA(321, 33, F32, 2, 1) (dual of [(33, 2), 65, 2]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(321, s, F32, 2, 1) for arbitrarily large s, using
- appending 1 arbitrary column [i] based on linear OA(321, s, F32, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- discarding factors / shortening the dual code based on linear OOA(321, s, F32, 2, 1) for arbitrarily large s, using
- linear OOA(321, 33, F32, 2, 1) (dual of [(33, 2), 65, 2]-NRT-code) (see above)
- linear OOA(321, 33, F32, 2, 1) (dual of [(33, 2), 65, 2]-NRT-code) (see above)
- linear OOA(321, 33, F32, 2, 1) (dual of [(33, 2), 65, 2]-NRT-code) (see above)
- linear OOA(322, 33, F32, 2, 2) (dual of [(33, 2), 64, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;64,32) [i]
- linear OOA(323, 33, F32, 2, 3) (dual of [(33, 2), 63, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;63,32) [i]
- linear OOA(327, 33, F32, 2, 7) (dual of [(33, 2), 59, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;59,32) [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(3287, 4195357, F32, 2, 15) (dual of [(4195357, 2), 8390627, 16]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3282, 4195357, F32, 2, 14) (dual of [(4195357, 2), 8390632, 15]-NRT-code) | [i] | ||
| 3 | Linear OOA(3216, 527, F32, 10, 7) (dual of [(527, 10), 5254, 8]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |