Information on Result #1021803
Linear OOA(7104, 40, F7, 3, 74) (dual of [(40, 3), 16, 75]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(714, 8, F7, 3, 14) (dual of [(8, 3), 10, 15]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;10,7) [i]
- linear OOA(718, 8, F7, 3, 18) (dual of [(8, 3), 6, 19]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;6,7) [i]
- linear OOA(724, 8, F7, 3, 24) (dual of [(8, 3), 0, 25]-NRT-code), using
- linear OOA(724, 8, F7, 3, 24) (dual of [(8, 3), 0, 25]-NRT-code) (see above)
- linear OOA(724, 8, F7, 3, 24) (dual of [(8, 3), 0, 25]-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(7104, 40, F7, 3, 73) (dual of [(40, 3), 16, 74]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(7104, 40, F7, 3, 72) (dual of [(40, 3), 16, 73]-NRT-code) | [i] | ||
| 3 | Linear OOA(7103, 39, F7, 3, 73) (dual of [(39, 3), 14, 74]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(7102, 39, F7, 3, 72) (dual of [(39, 3), 15, 73]-NRT-code) | [i] | ||
| 5 | Linear OOA(7101, 39, F7, 3, 71) (dual of [(39, 3), 16, 72]-NRT-code) | [i] | ||
| 6 | Linear OOA(7100, 38, F7, 3, 70) (dual of [(38, 3), 14, 71]-NRT-code) | [i] | ||
| 7 | Linear OOA(799, 38, F7, 3, 69) (dual of [(38, 3), 15, 70]-NRT-code) | [i] | ||
| 8 | Linear OOA(798, 38, F7, 3, 68) (dual of [(38, 3), 16, 69]-NRT-code) | [i] | ||
| 9 | Linear OOA(797, 37, F7, 3, 67) (dual of [(37, 3), 14, 68]-NRT-code) | [i] | ||
| 10 | Linear OOA(796, 37, F7, 3, 66) (dual of [(37, 3), 15, 67]-NRT-code) | [i] | ||
| 11 | Linear OOA(795, 37, F7, 3, 65) (dual of [(37, 3), 16, 66]-NRT-code) | [i] | ||