Information on Result #906529
Linear OOA(762, 49, F7, 2, 34) (dual of [(49, 2), 36, 35]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(74, 7, F7, 2, 4) (dual of [(7, 2), 10, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(2;10,7) [i]
- linear OOA(75, 7, F7, 2, 5) (dual of [(7, 2), 9, 6]-NRT-code), using
- Reed–Solomon NRT-code RS(2;9,7) [i]
- linear OOA(76, 7, F7, 2, 6) (dual of [(7, 2), 8, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(2;8,7) [i]
- linear OOA(78, 7, F7, 2, 8) (dual of [(7, 2), 6, 9]-NRT-code), using
- Reed–Solomon NRT-code RS(2;6,7) [i]
- linear OOA(711, 7, F7, 2, 11) (dual of [(7, 2), 3, 12]-NRT-code), using
- Reed–Solomon NRT-code RS(2;3,7) [i]
- linear OOA(714, 7, F7, 2, 14) (dual of [(7, 2), 0, 15]-NRT-code), using
- linear OOA(714, 7, F7, 2, 14) (dual of [(7, 2), 0, 15]-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(762, 49, F7, 2, 33) (dual of [(49, 2), 36, 34]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(762, 49, F7, 2, 32) (dual of [(49, 2), 36, 33]-NRT-code) | [i] | ||
| 3 | Linear OOA(764, 50, F7, 2, 34) (dual of [(50, 2), 36, 35]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 4 | Linear OOA(763, 49, F7, 2, 34) (dual of [(49, 2), 35, 35]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(761, 48, F7, 2, 33) (dual of [(48, 2), 35, 34]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(760, 48, F7, 2, 32) (dual of [(48, 2), 36, 33]-NRT-code) | [i] | ||