Information on Result #906767
Linear OOA(2710, 756, F27, 2, 5) (dual of [(756, 2), 1502, 6]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(270, 28, F27, 2, 0) (dual of [(28, 2), 56, 1]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(270, s, F27, 2, 0) for arbitrarily large s, using
- linear OOA(270, 28, F27, 2, 0) (dual of [(28, 2), 56, 1]-NRT-code) (see above)
- linear OOA(270, 28, F27, 2, 0) (dual of [(28, 2), 56, 1]-NRT-code) (see above)
- linear OOA(270, 28, F27, 2, 0) (dual of [(28, 2), 56, 1]-NRT-code) (see above)
- linear OOA(270, 28, F27, 2, 0) (dual of [(28, 2), 56, 1]-NRT-code) (see above)
- linear OOA(270, 28, F27, 2, 0) (dual of [(28, 2), 56, 1]-NRT-code) (see above)
- linear OOA(270, 28, F27, 2, 0) (dual of [(28, 2), 56, 1]-NRT-code) (see above)
- linear OOA(270, 28, F27, 2, 0) (dual of [(28, 2), 56, 1]-NRT-code) (see above)
- linear OOA(270, 28, F27, 2, 0) (dual of [(28, 2), 56, 1]-NRT-code) (see above)
- linear OOA(270, 28, F27, 2, 0) (dual of [(28, 2), 56, 1]-NRT-code) (see above)
- linear OOA(270, 28, F27, 2, 0) (dual of [(28, 2), 56, 1]-NRT-code) (see above)
- linear OOA(270, 28, F27, 2, 0) (dual of [(28, 2), 56, 1]-NRT-code) (see above)
- linear OOA(270, 28, F27, 2, 0) (dual of [(28, 2), 56, 1]-NRT-code) (see above)
- linear OOA(270, 28, F27, 2, 0) (dual of [(28, 2), 56, 1]-NRT-code) (see above)
- linear OOA(270, 28, F27, 2, 0) (dual of [(28, 2), 56, 1]-NRT-code) (see above)
- linear OOA(270, 28, F27, 2, 0) (dual of [(28, 2), 56, 1]-NRT-code) (see above)
- linear OOA(270, 28, F27, 2, 0) (dual of [(28, 2), 56, 1]-NRT-code) (see above)
- linear OOA(270, 28, F27, 2, 0) (dual of [(28, 2), 56, 1]-NRT-code) (see above)
- linear OOA(270, 28, F27, 2, 0) (dual of [(28, 2), 56, 1]-NRT-code) (see above)
- linear OOA(270, 28, F27, 2, 0) (dual of [(28, 2), 56, 1]-NRT-code) (see above)
- linear OOA(270, 28, F27, 2, 0) (dual of [(28, 2), 56, 1]-NRT-code) (see above)
- linear OOA(270, 28, F27, 2, 0) (dual of [(28, 2), 56, 1]-NRT-code) (see above)
- linear OOA(271, 28, F27, 2, 1) (dual of [(28, 2), 55, 2]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(271, s, F27, 2, 1) for arbitrarily large s, using
- appending 1 arbitrary column [i] based on linear OA(271, s, F27, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- discarding factors / shortening the dual code based on linear OOA(271, s, F27, 2, 1) for arbitrarily large s, using
- linear OOA(271, 28, F27, 2, 1) (dual of [(28, 2), 55, 2]-NRT-code) (see above)
- linear OOA(271, 28, F27, 2, 1) (dual of [(28, 2), 55, 2]-NRT-code) (see above)
- linear OOA(272, 28, F27, 2, 2) (dual of [(28, 2), 54, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;54,27) [i]
- linear OOA(275, 28, F27, 2, 5) (dual of [(28, 2), 51, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;51,27) [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(2761, 4195057, F27, 2, 11) (dual of [(4195057, 2), 8390053, 12]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2756, 4195057, F27, 2, 10) (dual of [(4195057, 2), 8390058, 11]-NRT-code) | [i] | ||
| 3 | Linear OOA(2716, 20412, F27, 2, 5) (dual of [(20412, 2), 40808, 6]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(2710, 755, F27, 6, 5) (dual of [(755, 6), 4520, 6]-NRT-code) | [i] | OOA Stacking with Additional Row | |