Information on Result #1021906
Linear OOA(781, 32, F7, 3, 59) (dual of [(32, 3), 15, 60]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(714, 8, F7, 3, 14) (dual of [(8, 3), 10, 15]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;10,7) [i]
- linear OOA(719, 8, F7, 3, 19) (dual of [(8, 3), 5, 20]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;5,7) [i]
- linear OOA(724, 8, F7, 3, 24) (dual of [(8, 3), 0, 25]-NRT-code), using
- linear OOA(724, 8, F7, 3, 24) (dual of [(8, 3), 0, 25]-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(781, 32, F7, 3, 58) (dual of [(32, 3), 15, 59]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(781, 32, F7, 3, 57) (dual of [(32, 3), 15, 58]-NRT-code) | [i] | ||
| 3 | Linear OOA(781, 32, F7, 3, 56) (dual of [(32, 3), 15, 57]-NRT-code) | [i] | ||
| 4 | Linear OOA(781, 32, F7, 3, 55) (dual of [(32, 3), 15, 56]-NRT-code) | [i] | ||
| 5 | Linear OOA(784, 33, F7, 3, 59) (dual of [(33, 3), 15, 60]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 6 | Linear OOA(782, 32, F7, 3, 59) (dual of [(32, 3), 14, 60]-NRT-code) | [i] | OOA Duplication | |
| 7 | Linear OOA(780, 31, F7, 3, 58) (dual of [(31, 3), 13, 59]-NRT-code) | [i] | Truncation for OOAs | |
| 8 | Linear OOA(779, 31, F7, 3, 57) (dual of [(31, 3), 14, 58]-NRT-code) | [i] | ||
| 9 | Linear OOA(778, 31, F7, 3, 56) (dual of [(31, 3), 15, 57]-NRT-code) | [i] | ||
| 10 | Linear OOA(777, 30, F7, 3, 55) (dual of [(30, 3), 13, 56]-NRT-code) | [i] | ||
| 11 | Linear OOA(776, 30, F7, 3, 54) (dual of [(30, 3), 14, 55]-NRT-code) | [i] | ||
| 12 | Linear OOA(775, 30, F7, 3, 53) (dual of [(30, 3), 15, 54]-NRT-code) | [i] | ||