Information on Result #2479637
Linear OOA(255, 32, F2, 2, 30) (dual of [(32, 2), 9, 31]-NRT-code), using 2 times NRT-code embedding in larger space based on linear OOA(251, 30, F2, 2, 30) (dual of [(30, 2), 9, 31]-NRT-code), using
- strength reduction [i] based on linear OOA(251, 30, F2, 2, 31) (dual of [(30, 2), 9, 32]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(87, 10, F8, 7) (dual of [10, 3, 8]-code or 10-arc in PG(6,8)), using
- Denniston code D(1,8) [i]
- linear OOA(23, 3, F2, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;3,2) [i]
- linear OA(87, 10, F8, 7) (dual of [10, 3, 8]-code or 10-arc in PG(6,8)), using
- concatenation of two NRT-codes [i] based on
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(2116, 62, F2, 2, 60) (dual of [(62, 2), 8, 61]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2116, 62, F2, 2, 61) (dual of [(62, 2), 8, 62]-NRT-code) | [i] | ||
| 3 | Linear OOA(2125, 66, F2, 2, 66) (dual of [(66, 2), 7, 67]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 4 | Linear OOA(2195, 101, F2, 2, 102) (dual of [(101, 2), 7, 103]-NRT-code) | [i] | ||
| 5 | Linear OOA(2211, 109, F2, 2, 110) (dual of [(109, 2), 7, 111]-NRT-code) | [i] | ||