Information on Result #2642496
Linear OOA(795, 42, F7, 3, 58) (dual of [(42, 3), 31, 59]-NRT-code), using strength reduction based on linear OOA(795, 42, F7, 3, 59) (dual of [(42, 3), 31, 60]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(79, 7, F7, 3, 9) (dual of [(7, 3), 12, 10]-NRT-code), using
- Reed–Solomon NRT-code RS(3;12,7) [i]
- linear OOA(711, 7, F7, 3, 11) (dual of [(7, 3), 10, 12]-NRT-code), using
- Reed–Solomon NRT-code RS(3;10,7) [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(719, 7, F7, 3, 19) (dual of [(7, 3), 2, 20]-NRT-code), using
- Reed–Solomon NRT-code RS(3;2,7) [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(79, 7, F7, 3, 9) (dual of [(7, 3), 12, 10]-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(798, 43, F7, 3, 58) (dual of [(43, 3), 31, 59]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(797, 42, F7, 3, 58) (dual of [(42, 3), 29, 59]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(794, 41, F7, 3, 57) (dual of [(41, 3), 29, 58]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(793, 41, F7, 3, 56) (dual of [(41, 3), 30, 57]-NRT-code) | [i] | ||
| 5 | Linear OOA(792, 41, F7, 3, 55) (dual of [(41, 3), 31, 56]-NRT-code) | [i] | ||