Information on Result #2768401
Linear OOA(2260, 75, F2, 4, 139) (dual of [(75, 4), 40, 140]-NRT-code), using strength reduction based on linear OOA(2260, 75, F2, 4, 143) (dual of [(75, 4), 40, 144]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(3217, 25, F32, 17) (dual of [25, 8, 18]-code or 25-arc in PG(16,32)), using
- discarding factors / shortening the dual code based on linear OA(3217, 32, F32, 17) (dual of [32, 15, 18]-code or 32-arc in PG(16,32)), using
- Reed–Solomon code RS(15,32) [i]
- discarding factors / shortening the dual code based on linear OA(3217, 32, F32, 17) (dual of [32, 15, 18]-code or 32-arc in PG(16,32)), using
- linear OOA(27, 3, F2, 4, 7) (dual of [(3, 4), 5, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;5,2) [i]
- linear OA(3217, 25, F32, 17) (dual of [25, 8, 18]-code or 25-arc in PG(16,32)), using
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(2259, 74, F2, 4, 138) (dual of [(74, 4), 37, 139]-NRT-code) | [i] | Truncation for OOAs | |
| 2 | Linear OOA(2258, 74, F2, 4, 137) (dual of [(74, 4), 38, 138]-NRT-code) | [i] | ||
| 3 | Linear OOA(2257, 74, F2, 4, 136) (dual of [(74, 4), 39, 137]-NRT-code) | [i] | ||