Information on Result #1021660
Linear OOA(793, 35, F7, 3, 69) (dual of [(35, 3), 12, 70]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(79, 5, F7, 3, 9) (dual of [(5, 3), 6, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(79, 7, F7, 3, 9) (dual of [(7, 3), 12, 10]-NRT-code), using
- Reed–Solomon NRT-code RS(3;12,7) [i]
- discarding factors / shortening the dual code based on linear OOA(79, 7, F7, 3, 9) (dual of [(7, 3), 12, 10]-NRT-code), using
- linear OOA(711, 5, F7, 3, 11) (dual of [(5, 3), 4, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(711, 7, F7, 3, 11) (dual of [(7, 3), 10, 12]-NRT-code), using
- Reed–Solomon NRT-code RS(3;10,7) [i]
- discarding factors / shortening the dual code based on linear OOA(711, 7, F7, 3, 11) (dual of [(7, 3), 10, 12]-NRT-code), using
- 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(715, 5, F7, 3, 15) (dual of [(5, 3), 0, 16]-NRT-code), using
- linear OOA(715, 5, F7, 3, 15) (dual of [(5, 3), 0, 16]-NRT-code) (see above)
- linear OOA(715, 5, F7, 3, 15) (dual of [(5, 3), 0, 16]-NRT-code) (see above)
- linear OOA(715, 5, F7, 3, 15) (dual of [(5, 3), 0, 16]-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(793, 35, F7, 3, 68) (dual of [(35, 3), 12, 69]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(793, 35, F7, 3, 67) (dual of [(35, 3), 12, 68]-NRT-code) | [i] | ||
| 3 | Linear OOA(793, 35, F7, 3, 66) (dual of [(35, 3), 12, 67]-NRT-code) | [i] | ||
| 4 | Linear OOA(792, 34, F7, 3, 68) (dual of [(34, 3), 10, 69]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(791, 34, F7, 3, 67) (dual of [(34, 3), 11, 68]-NRT-code) | [i] | ||
| 6 | Linear OOA(790, 34, F7, 3, 66) (dual of [(34, 3), 12, 67]-NRT-code) | [i] | ||
| 7 | Linear OOA(789, 33, F7, 3, 65) (dual of [(33, 3), 10, 66]-NRT-code) | [i] | ||
| 8 | Linear OOA(788, 33, F7, 3, 64) (dual of [(33, 3), 11, 65]-NRT-code) | [i] | ||
| 9 | Linear OOA(787, 33, F7, 3, 63) (dual of [(33, 3), 12, 64]-NRT-code) | [i] | ||