Information on Result #1021661
Linear OOA(7104, 42, F7, 3, 69) (dual of [(42, 3), 22, 70]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(79, 6, F7, 3, 9) (dual of [(6, 3), 9, 10]-NRT-code), using
- discarding factors / shortening the dual code 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]
- discarding factors / shortening the dual code based on linear OOA(79, 7, F7, 3, 9) (dual of [(7, 3), 12, 10]-NRT-code), using
- linear OOA(711, 6, F7, 3, 11) (dual of [(6, 3), 7, 12]-NRT-code), using
- discarding factors / shortening the dual code based on 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]
- discarding factors / shortening the dual code based on linear OOA(711, 7, F7, 3, 11) (dual of [(7, 3), 10, 12]-NRT-code), using
- linear OOA(713, 6, F7, 3, 13) (dual of [(6, 3), 5, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(713, 7, F7, 3, 13) (dual of [(7, 3), 8, 14]-NRT-code), using
- Reed–Solomon NRT-code RS(3;8,7) [i]
- discarding factors / shortening the dual code based on linear OOA(713, 7, F7, 3, 13) (dual of [(7, 3), 8, 14]-NRT-code), using
- linear OOA(717, 6, F7, 3, 17) (dual of [(6, 3), 1, 18]-NRT-code), using
- dual of repetition NRT-code with length 6 [i]
- linear OOA(718, 6, F7, 3, 18) (dual of [(6, 3), 0, 19]-NRT-code), using
- linear OOA(718, 6, F7, 3, 18) (dual of [(6, 3), 0, 19]-NRT-code) (see above)
- linear OOA(718, 6, F7, 3, 18) (dual of [(6, 3), 0, 19]-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(7104, 42, F7, 3, 68) (dual of [(42, 3), 22, 69]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(7104, 42, F7, 3, 67) (dual of [(42, 3), 22, 68]-NRT-code) | [i] | ||
| 3 | Linear OOA(7104, 42, F7, 3, 66) (dual of [(42, 3), 22, 67]-NRT-code) | [i] | ||
| 4 | Linear OOA(7104, 42, F7, 3, 65) (dual of [(42, 3), 22, 66]-NRT-code) | [i] | ||
| 5 | Linear OOA(7107, 43, F7, 3, 69) (dual of [(43, 3), 22, 70]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 6 | Linear OOA(7103, 41, F7, 3, 68) (dual of [(41, 3), 20, 69]-NRT-code) | [i] | Truncation for OOAs | |
| 7 | Linear OOA(7102, 41, F7, 3, 67) (dual of [(41, 3), 21, 68]-NRT-code) | [i] | ||
| 8 | Linear OOA(7101, 41, F7, 3, 66) (dual of [(41, 3), 22, 67]-NRT-code) | [i] | ||