Information on Result #1021727
Linear OOA(7103, 36, F7, 3, 89) (dual of [(36, 3), 5, 90]-NRT-code), using generalized (u, u+v)-construction based on
- 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(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)
- 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(7103, 36, F7, 3, 88) (dual of [(36, 3), 5, 89]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(7103, 36, F7, 3, 87) (dual of [(36, 3), 5, 88]-NRT-code) | [i] | ||
| 3 | Linear OOA(7103, 36, F7, 3, 86) (dual of [(36, 3), 5, 87]-NRT-code) | [i] | ||
| 4 | Linear OOA(7100, 35, F7, 3, 86) (dual of [(35, 3), 5, 87]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(797, 34, F7, 3, 83) (dual of [(34, 3), 5, 84]-NRT-code) | [i] | ||
| 6 | Linear OOA(788, 31, F7, 3, 74) (dual of [(31, 3), 5, 75]-NRT-code) | [i] | ||
| 7 | Linear OOA(785, 30, F7, 3, 71) (dual of [(30, 3), 5, 72]-NRT-code) | [i] | ||
| 8 | Linear OOA(782, 29, F7, 3, 68) (dual of [(29, 3), 5, 69]-NRT-code) | [i] | ||