Information on Result #1021860
Linear OOA(777, 40, F7, 3, 43) (dual of [(40, 3), 43, 44]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(78, 8, F7, 3, 8) (dual of [(8, 3), 16, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;16,7) [i]
- linear OOA(710, 8, F7, 3, 10) (dual of [(8, 3), 14, 11]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;14,7) [i]
- 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(721, 8, F7, 3, 21) (dual of [(8, 3), 3, 22]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;3,7) [i]
- linear OOA(724, 8, F7, 3, 24) (dual of [(8, 3), 0, 25]-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(777, 40, F7, 3, 42) (dual of [(40, 3), 43, 43]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(777, 40, F7, 3, 41) (dual of [(40, 3), 43, 42]-NRT-code) | [i] | ||
| 3 | Linear OOA(780, 41, F7, 3, 43) (dual of [(41, 3), 43, 44]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 4 | Linear OOA(778, 40, F7, 3, 43) (dual of [(40, 3), 42, 44]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(776, 39, F7, 3, 42) (dual of [(39, 3), 41, 43]-NRT-code) | [i] | Truncation for OOAs | |