Information on Result #906531
Linear OOA(757, 42, F7, 2, 32) (dual of [(42, 2), 27, 33]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(74, 6, F7, 2, 4) (dual of [(6, 2), 8, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(74, 7, F7, 2, 4) (dual of [(7, 2), 10, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(2;10,7) [i]
- discarding factors / shortening the dual code based on linear OOA(74, 7, F7, 2, 4) (dual of [(7, 2), 10, 5]-NRT-code), using
- linear OOA(75, 6, F7, 2, 5) (dual of [(6, 2), 7, 6]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(75, 7, F7, 2, 5) (dual of [(7, 2), 9, 6]-NRT-code), using
- Reed–Solomon NRT-code RS(2;9,7) [i]
- discarding factors / shortening the dual code based on linear OOA(75, 7, F7, 2, 5) (dual of [(7, 2), 9, 6]-NRT-code), using
- linear OOA(76, 6, F7, 2, 6) (dual of [(6, 2), 6, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(76, 7, F7, 2, 6) (dual of [(7, 2), 8, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(2;8,7) [i]
- discarding factors / shortening the dual code based on linear OOA(76, 7, F7, 2, 6) (dual of [(7, 2), 8, 7]-NRT-code), using
- linear OOA(78, 6, F7, 2, 8) (dual of [(6, 2), 4, 9]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(78, 7, F7, 2, 8) (dual of [(7, 2), 6, 9]-NRT-code), using
- Reed–Solomon NRT-code RS(2;6,7) [i]
- discarding factors / shortening the dual code based on linear OOA(78, 7, F7, 2, 8) (dual of [(7, 2), 6, 9]-NRT-code), using
- linear OOA(710, 6, F7, 2, 10) (dual of [(6, 2), 2, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(710, 7, F7, 2, 10) (dual of [(7, 2), 4, 11]-NRT-code), using
- Reed–Solomon NRT-code RS(2;4,7) [i]
- discarding factors / shortening the dual code based on linear OOA(710, 7, F7, 2, 10) (dual of [(7, 2), 4, 11]-NRT-code), using
- linear OOA(712, 6, F7, 2, 12) (dual of [(6, 2), 0, 13]-NRT-code), using
- linear OOA(712, 6, F7, 2, 12) (dual of [(6, 2), 0, 13]-NRT-code) (see above)
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(757, 42, F7, 2, 31) (dual of [(42, 2), 27, 32]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(757, 42, F7, 2, 30) (dual of [(42, 2), 27, 31]-NRT-code) | [i] | ||
| 3 | Linear OOA(759, 43, F7, 2, 32) (dual of [(43, 2), 27, 33]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |