Information on Result #906768
Linear OOA(2715, 10233, F27, 2, 5) (dual of [(10233, 2), 20451, 6]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(270, 379, F27, 2, 0) (dual of [(379, 2), 758, 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, 379, F27, 2, 0) (dual of [(379, 2), 758, 1]-NRT-code) (see above)
- linear OOA(270, 379, F27, 2, 0) (dual of [(379, 2), 758, 1]-NRT-code) (see above)
- linear OOA(270, 379, F27, 2, 0) (dual of [(379, 2), 758, 1]-NRT-code) (see above)
- linear OOA(270, 379, F27, 2, 0) (dual of [(379, 2), 758, 1]-NRT-code) (see above)
- linear OOA(270, 379, F27, 2, 0) (dual of [(379, 2), 758, 1]-NRT-code) (see above)
- linear OOA(270, 379, F27, 2, 0) (dual of [(379, 2), 758, 1]-NRT-code) (see above)
- linear OOA(270, 379, F27, 2, 0) (dual of [(379, 2), 758, 1]-NRT-code) (see above)
- linear OOA(270, 379, F27, 2, 0) (dual of [(379, 2), 758, 1]-NRT-code) (see above)
- linear OOA(270, 379, F27, 2, 0) (dual of [(379, 2), 758, 1]-NRT-code) (see above)
- linear OOA(270, 379, F27, 2, 0) (dual of [(379, 2), 758, 1]-NRT-code) (see above)
- linear OOA(270, 379, F27, 2, 0) (dual of [(379, 2), 758, 1]-NRT-code) (see above)
- linear OOA(270, 379, F27, 2, 0) (dual of [(379, 2), 758, 1]-NRT-code) (see above)
- linear OOA(270, 379, F27, 2, 0) (dual of [(379, 2), 758, 1]-NRT-code) (see above)
- linear OOA(270, 379, F27, 2, 0) (dual of [(379, 2), 758, 1]-NRT-code) (see above)
- linear OOA(270, 379, F27, 2, 0) (dual of [(379, 2), 758, 1]-NRT-code) (see above)
- linear OOA(270, 379, F27, 2, 0) (dual of [(379, 2), 758, 1]-NRT-code) (see above)
- linear OOA(270, 379, F27, 2, 0) (dual of [(379, 2), 758, 1]-NRT-code) (see above)
- linear OOA(270, 379, F27, 2, 0) (dual of [(379, 2), 758, 1]-NRT-code) (see above)
- linear OOA(270, 379, F27, 2, 0) (dual of [(379, 2), 758, 1]-NRT-code) (see above)
- linear OOA(270, 379, F27, 2, 0) (dual of [(379, 2), 758, 1]-NRT-code) (see above)
- linear OOA(270, 379, F27, 2, 0) (dual of [(379, 2), 758, 1]-NRT-code) (see above)
- linear OOA(271, 379, F27, 2, 1) (dual of [(379, 2), 757, 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, 379, F27, 2, 1) (dual of [(379, 2), 757, 2]-NRT-code) (see above)
- linear OOA(271, 379, F27, 2, 1) (dual of [(379, 2), 757, 2]-NRT-code) (see above)
- linear OOA(273, 379, F27, 2, 2) (dual of [(379, 2), 755, 3]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(273, 757, F27, 2, 2) (dual of [(757, 2), 1511, 3]-NRT-code), using
- appending kth column [i] based on linear OA(273, 757, F27, 2) (dual of [757, 754, 3]-code), using
- Hamming code H(3,27) [i]
- appending kth column [i] based on linear OA(273, 757, F27, 2) (dual of [757, 754, 3]-code), using
- discarding factors / shortening the dual code based on linear OOA(273, 757, F27, 2, 2) (dual of [(757, 2), 1511, 3]-NRT-code), using
- linear OOA(279, 379, F27, 2, 5) (dual of [(379, 2), 749, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- 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(277, 351, F27, 2, 5) (dual of [(351, 2), 695, 6]-NRT-code), using
- OOA 2-folding [i] based on linear OA(277, 702, F27, 5) (dual of [702, 695, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(277, 703, F27, 5) (dual of [703, 696, 6]-code), using
- OOA 2-folding [i] based on linear OA(277, 702, F27, 5) (dual of [702, 695, 6]-code), using
- linear OOA(272, 28, F27, 2, 2) (dual of [(28, 2), 54, 3]-NRT-code), using
- (u, u+v)-construction [i] based on
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(2766, 4204534, F27, 2, 11) (dual of [(4204534, 2), 8409002, 12]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2761, 4204534, F27, 2, 10) (dual of [(4204534, 2), 8409007, 11]-NRT-code) | [i] | ||
| 3 | Linear OOA(2715, 10232, F27, 6, 5) (dual of [(10232, 6), 61377, 6]-NRT-code) | [i] | OOA Stacking with Additional Row | |