Information on Result #1021799
Linear OOA(7106, 40, F7, 3, 79) (dual of [(40, 3), 14, 80]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(715, 8, F7, 3, 15) (dual of [(8, 3), 9, 16]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;9,7) [i]
- linear OOA(719, 8, F7, 3, 19) (dual of [(8, 3), 5, 20]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;5,7) [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(7106, 40, F7, 3, 78) (dual of [(40, 3), 14, 79]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(7106, 40, F7, 3, 77) (dual of [(40, 3), 14, 78]-NRT-code) | [i] | ||
| 3 | Linear OOA(7106, 40, F7, 3, 76) (dual of [(40, 3), 14, 77]-NRT-code) | [i] | ||
| 4 | Linear OOA(7106, 40, F7, 3, 75) (dual of [(40, 3), 14, 76]-NRT-code) | [i] | ||
| 5 | Linear OOA(7109, 41, F7, 3, 79) (dual of [(41, 3), 14, 80]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 6 | Linear OOA(7107, 40, F7, 3, 79) (dual of [(40, 3), 13, 80]-NRT-code) | [i] | OOA Duplication | |
| 7 | Linear OOA(7105, 39, F7, 3, 78) (dual of [(39, 3), 12, 79]-NRT-code) | [i] | Truncation for OOAs | |
| 8 | Linear OOA(7104, 39, F7, 3, 77) (dual of [(39, 3), 13, 78]-NRT-code) | [i] | ||
| 9 | Linear OOA(7103, 39, F7, 3, 76) (dual of [(39, 3), 14, 77]-NRT-code) | [i] | ||
| 10 | Linear OOA(7102, 38, F7, 3, 75) (dual of [(38, 3), 12, 76]-NRT-code) | [i] | ||
| 11 | Linear OOA(7101, 38, F7, 3, 74) (dual of [(38, 3), 13, 75]-NRT-code) | [i] | ||
| 12 | Linear OOA(7100, 38, F7, 3, 73) (dual of [(38, 3), 14, 74]-NRT-code) | [i] | ||
| 13 | Linear OOA(799, 37, F7, 3, 72) (dual of [(37, 3), 12, 73]-NRT-code) | [i] | ||
| 14 | Linear OOA(798, 37, F7, 3, 71) (dual of [(37, 3), 13, 72]-NRT-code) | [i] | ||
| 15 | Linear OOA(797, 37, F7, 3, 70) (dual of [(37, 3), 14, 71]-NRT-code) | [i] | ||