Information on Result #1027721
Linear OOA(7109, 37, F7, 3, 105) (dual of [(37, 3), 2, 106]-NRT-code), using juxtaposition based on
- linear OOA(713, 5, F7, 3, 13) (dual of [(5, 3), 2, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(713, 7, F7, 3, 13) (dual of [(7, 3), 8, 14]-NRT-code), using
- Reed–Solomon NRT-code RS(3;8,7) [i]
- discarding factors / shortening the dual code based on linear OOA(713, 7, F7, 3, 13) (dual of [(7, 3), 8, 14]-NRT-code), using
- linear OOA(794, 32, F7, 3, 91) (dual of [(32, 3), 2, 92]-NRT-code), using
- repeating each code word 4 times [i] based on linear OOA(722, 8, F7, 3, 22) (dual of [(8, 3), 2, 23]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;2,7) [i]
- repeating each code word 4 times [i] based on linear OOA(722, 8, F7, 3, 22) (dual of [(8, 3), 2, 23]-NRT-code), 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(7100, 34, F7, 3, 96) (dual of [(34, 3), 2, 97]-NRT-code) | [i] | Truncation for OOAs | |
| 2 | Linear OOA(797, 33, F7, 3, 93) (dual of [(33, 3), 2, 94]-NRT-code) | [i] | ||
| 3 | Linear OOA(791, 31, F7, 3, 87) (dual of [(31, 3), 2, 88]-NRT-code) | [i] | ||
| 4 | Linear OOA(785, 29, F7, 3, 81) (dual of [(29, 3), 2, 82]-NRT-code) | [i] | ||
| 5 | Linear OOA(779, 27, F7, 3, 75) (dual of [(27, 3), 2, 76]-NRT-code) | [i] | ||
| 6 | Linear OOA(776, 26, F7, 3, 72) (dual of [(26, 3), 2, 73]-NRT-code) | [i] | ||