Information on Result #1021736
Linear OOA(7107, 42, F7, 3, 74) (dual of [(42, 3), 19, 75]-NRT-code), using generalized (u, u+v)-construction 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]
- linear OOA(714, 7, F7, 3, 14) (dual of [(7, 3), 7, 15]-NRT-code), using
- Reed–Solomon NRT-code RS(3;7,7) [i]
- linear OOA(718, 7, F7, 3, 18) (dual of [(7, 3), 3, 19]-NRT-code), using
- Reed–Solomon NRT-code RS(3;3,7) [i]
- linear OOA(721, 7, F7, 3, 21) (dual of [(7, 3), 0, 22]-NRT-code), using
- linear OOA(721, 7, F7, 3, 21) (dual of [(7, 3), 0, 22]-NRT-code) (see above)
- linear OOA(721, 7, F7, 3, 21) (dual of [(7, 3), 0, 22]-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(7107, 42, F7, 3, 73) (dual of [(42, 3), 19, 74]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(7107, 42, F7, 3, 72) (dual of [(42, 3), 19, 73]-NRT-code) | [i] | ||
| 3 | Linear OOA(7107, 42, F7, 3, 71) (dual of [(42, 3), 19, 72]-NRT-code) | [i] | ||
| 4 | Linear OOA(7107, 42, F7, 3, 70) (dual of [(42, 3), 19, 71]-NRT-code) | [i] | ||
| 5 | Linear OOA(7110, 43, F7, 3, 74) (dual of [(43, 3), 19, 75]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 6 | Linear OOA(7106, 41, F7, 3, 73) (dual of [(41, 3), 17, 74]-NRT-code) | [i] | Truncation for OOAs | |
| 7 | Linear OOA(7105, 41, F7, 3, 72) (dual of [(41, 3), 18, 73]-NRT-code) | [i] | ||
| 8 | Linear OOA(7104, 41, F7, 3, 71) (dual of [(41, 3), 19, 72]-NRT-code) | [i] | ||
| 9 | Linear OOA(7103, 40, F7, 3, 70) (dual of [(40, 3), 17, 71]-NRT-code) | [i] | ||