Information on Result #906467
Linear OOA(779, 42, F7, 2, 65) (dual of [(42, 2), 5, 66]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(79, 6, F7, 2, 9) (dual of [(6, 2), 3, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(79, 7, F7, 2, 9) (dual of [(7, 2), 5, 10]-NRT-code), using
- Reed–Solomon NRT-code RS(2;5,7) [i]
- discarding factors / shortening the dual code based on linear OOA(79, 7, F7, 2, 9) (dual of [(7, 2), 5, 10]-NRT-code), using
- linear OOA(710, 6, F7, 2, 10) (dual of [(6, 2), 2, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(710, 7, F7, 2, 10) (dual of [(7, 2), 4, 11]-NRT-code), using
- Reed–Solomon NRT-code RS(2;4,7) [i]
- discarding factors / shortening the dual code based on linear OOA(710, 7, F7, 2, 10) (dual of [(7, 2), 4, 11]-NRT-code), using
- linear OOA(712, 6, F7, 2, 12) (dual of [(6, 2), 0, 13]-NRT-code), using
- linear OOA(712, 6, F7, 2, 12) (dual of [(6, 2), 0, 13]-NRT-code) (see above)
- linear OOA(712, 6, F7, 2, 12) (dual of [(6, 2), 0, 13]-NRT-code) (see above)
- linear OOA(712, 6, F7, 2, 12) (dual of [(6, 2), 0, 13]-NRT-code) (see above)
- linear OOA(712, 6, F7, 2, 12) (dual of [(6, 2), 0, 13]-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(779, 42, F7, 2, 64) (dual of [(42, 2), 5, 65]-NRT-code) | [i] | Strength Reduction for OOAs | |
2 | Linear OOA(779, 42, F7, 2, 63) (dual of [(42, 2), 5, 64]-NRT-code) | [i] | ||
3 | Linear OOA(779, 42, F7, 2, 62) (dual of [(42, 2), 5, 63]-NRT-code) | [i] |