Information on Result #906759
Linear OOA(2724, 766, F27, 2, 9) (dual of [(766, 2), 1508, 10]-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(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(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(273, 28, F27, 2, 3) (dual of [(28, 2), 53, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;53,27) [i]
- linear OOA(274, 28, F27, 2, 4) (dual of [(28, 2), 52, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;52,27) [i]
- linear OOA(2710, 38, F27, 2, 9) (dual of [(38, 2), 66, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,66P) [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, 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(27110, 4195067, F27, 2, 18) (dual of [(4195067, 2), 8390024, 19]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2724, 382, F27, 10, 9) (dual of [(382, 10), 3796, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |