Information on Result #1021669
Linear OOA(7100, 42, F7, 3, 63) (dual of [(42, 3), 26, 64]-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(710, 6, F7, 3, 10) (dual of [(6, 3), 8, 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, 6, F7, 3, 12) (dual of [(6, 3), 6, 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, 6, F7, 3, 15) (dual of [(6, 3), 3, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(715, 7, F7, 3, 15) (dual of [(7, 3), 6, 16]-NRT-code), using
- Reed–Solomon NRT-code RS(3;6,7) [i]
- discarding factors / shortening the dual code based on linear OOA(715, 7, F7, 3, 15) (dual of [(7, 3), 6, 16]-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(7100, 42, F7, 3, 62) (dual of [(42, 3), 26, 63]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(7100, 42, F7, 3, 61) (dual of [(42, 3), 26, 62]-NRT-code) | [i] | ||
| 3 | Linear OOA(7100, 42, F7, 3, 60) (dual of [(42, 3), 26, 61]-NRT-code) | [i] | ||
| 4 | Linear OOA(7103, 43, F7, 3, 63) (dual of [(43, 3), 26, 64]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |