Information on Result #1027713
Linear OOA(7108, 37, F7, 3, 98) (dual of [(37, 3), 3, 99]-NRT-code), using juxtaposition based on
- linear OOA(76, 3, F7, 3, 6) (dual of [(3, 3), 3, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(76, 7, F7, 3, 6) (dual of [(7, 3), 15, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(3;15,7) [i]
- discarding factors / shortening the dual code based on linear OOA(76, 7, F7, 3, 6) (dual of [(7, 3), 15, 7]-NRT-code), using
- linear OOA(799, 34, F7, 3, 91) (dual of [(34, 3), 3, 92]-NRT-code), using
- 9 step truncation [i] based on linear OOA(7108, 37, F7, 3, 100) (dual of [(37, 3), 3, 101]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(712, 5, F7, 3, 12) (dual of [(5, 3), 3, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(712, 7, F7, 3, 12) (dual of [(7, 3), 9, 13]-NRT-code), using
- Reed–Solomon NRT-code RS(3;9,7) [i]
- discarding factors / shortening the dual code based on linear OOA(712, 7, F7, 3, 12) (dual of [(7, 3), 9, 13]-NRT-code), using
- linear OOA(793, 32, F7, 3, 87) (dual of [(32, 3), 3, 88]-NRT-code), using
- repeating each code word 4 times [i] based on linear OOA(721, 8, F7, 3, 21) (dual of [(8, 3), 3, 22]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;3,7) [i]
- repeating each code word 4 times [i] based on linear OOA(721, 8, F7, 3, 21) (dual of [(8, 3), 3, 22]-NRT-code), using
- linear OOA(712, 5, F7, 3, 12) (dual of [(5, 3), 3, 13]-NRT-code), using
- juxtaposition [i] based on
- 9 step truncation [i] based on linear OOA(7108, 37, F7, 3, 100) (dual of [(37, 3), 3, 101]-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(7108, 37, F7, 3, 97) (dual of [(37, 3), 3, 98]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(7108, 37, F7, 3, 96) (dual of [(37, 3), 3, 97]-NRT-code) | [i] | ||
| 3 | Linear OOA(7108, 37, F7, 3, 95) (dual of [(37, 3), 3, 96]-NRT-code) | [i] | ||
| 4 | Linear OOA(7100, 34, F7, 3, 90) (dual of [(34, 3), 2, 91]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(799, 34, F7, 3, 89) (dual of [(34, 3), 3, 90]-NRT-code) | [i] | ||