Information on Result #1021753
Linear OOA(788, 36, F7, 3, 59) (dual of [(36, 3), 20, 60]-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(714, 6, F7, 3, 14) (dual of [(6, 3), 4, 15]-NRT-code), using
- discarding factors / shortening the dual code based on 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]
- discarding factors / shortening the dual code based on linear OOA(714, 7, F7, 3, 14) (dual of [(7, 3), 7, 15]-NRT-code), using
- 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(788, 36, F7, 3, 58) (dual of [(36, 3), 20, 59]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(788, 36, F7, 3, 57) (dual of [(36, 3), 20, 58]-NRT-code) | [i] | ||
| 3 | Linear OOA(788, 36, F7, 3, 56) (dual of [(36, 3), 20, 57]-NRT-code) | [i] | ||
| 4 | Linear OOA(789, 36, F7, 3, 59) (dual of [(36, 3), 19, 60]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(785, 35, F7, 3, 56) (dual of [(35, 3), 20, 57]-NRT-code) | [i] | Truncation for OOAs | |