Information on Result #906502
Linear OOA(769, 42, F7, 2, 47) (dual of [(42, 2), 15, 48]-NRT-code), using generalized (u, u+v)-construction based on
- 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(77, 6, F7, 2, 7) (dual of [(6, 2), 5, 8]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(77, 7, F7, 2, 7) (dual of [(7, 2), 7, 8]-NRT-code), using
- Reed–Solomon NRT-code RS(2;7,7) [i]
- discarding factors / shortening the dual code based on linear OOA(77, 7, F7, 2, 7) (dual of [(7, 2), 7, 8]-NRT-code), using
- linear OOA(79, 6, F7, 2, 9) (dual of [(6, 2), 3, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(79, 7, F7, 2, 9) (dual of [(7, 2), 5, 10]-NRT-code), using
- Reed–Solomon NRT-code RS(2;5,7) [i]
- discarding factors / shortening the dual code based on linear OOA(79, 7, F7, 2, 9) (dual of [(7, 2), 5, 10]-NRT-code), using
- linear OOA(711, 6, F7, 2, 11) (dual of [(6, 2), 1, 12]-NRT-code), using
- dual of repetition NRT-code with length 6 [i]
- 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(769, 42, F7, 2, 46) (dual of [(42, 2), 15, 47]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(769, 42, F7, 2, 45) (dual of [(42, 2), 15, 46]-NRT-code) | [i] | ||
| 3 | Linear OOA(769, 42, F7, 2, 44) (dual of [(42, 2), 15, 45]-NRT-code) | [i] | ||
| 4 | Linear OOA(771, 43, F7, 2, 47) (dual of [(43, 2), 15, 48]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 5 | Linear OOA(768, 41, F7, 2, 46) (dual of [(41, 2), 14, 47]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(767, 41, F7, 2, 45) (dual of [(41, 2), 15, 46]-NRT-code) | [i] | ||
| 7 | Linear OOA(766, 40, F7, 2, 44) (dual of [(40, 2), 14, 45]-NRT-code) | [i] | ||