Information on Result #1021745
Linear OOA(782, 30, F7, 3, 64) (dual of [(30, 3), 8, 65]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(710, 5, F7, 3, 10) (dual of [(5, 3), 5, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(710, 7, F7, 3, 10) (dual of [(7, 3), 11, 11]-NRT-code), using
- Reed–Solomon NRT-code RS(3;11,7) [i]
- discarding factors / shortening the dual code based on linear OOA(710, 7, F7, 3, 10) (dual of [(7, 3), 11, 11]-NRT-code), using
- linear OOA(712, 5, F7, 3, 12) (dual of [(5, 3), 3, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(712, 7, F7, 3, 12) (dual of [(7, 3), 9, 13]-NRT-code), using
- Reed–Solomon NRT-code RS(3;9,7) [i]
- discarding factors / shortening the dual code based on linear OOA(712, 7, F7, 3, 12) (dual of [(7, 3), 9, 13]-NRT-code), using
- linear OOA(715, 5, F7, 3, 15) (dual of [(5, 3), 0, 16]-NRT-code), using
- linear OOA(715, 5, F7, 3, 15) (dual of [(5, 3), 0, 16]-NRT-code) (see above)
- linear OOA(715, 5, F7, 3, 15) (dual of [(5, 3), 0, 16]-NRT-code) (see above)
- linear OOA(715, 5, F7, 3, 15) (dual of [(5, 3), 0, 16]-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(782, 30, F7, 3, 63) (dual of [(30, 3), 8, 64]-NRT-code) | [i] | Strength Reduction for OOAs | |