Information on Result #906514
Linear OOA(765, 42, F7, 2, 41) (dual of [(42, 2), 19, 42]-NRT-code), using generalized (u, u+v)-construction based on
- 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)
- 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(765, 42, F7, 2, 40) (dual of [(42, 2), 19, 41]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(767, 43, F7, 2, 41) (dual of [(43, 2), 19, 42]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(766, 42, F7, 2, 41) (dual of [(42, 2), 18, 42]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(764, 41, F7, 2, 40) (dual of [(41, 2), 18, 41]-NRT-code) | [i] | Truncation for OOAs | |