Information on Result #2795946
Linear OOA(2259, 76, F2, 4, 129) (dual of [(76, 4), 45, 130]-NRT-code), using 2 times NRT-code embedding in larger space based on linear OOA(2251, 74, F2, 4, 129) (dual of [(74, 4), 45, 130]-NRT-code), using
- 4 step truncation [i] based on linear OOA(2255, 75, F2, 4, 133) (dual of [(75, 4), 45, 134]-NRT-code), using
- strength reduction [i] based on linear OOA(2255, 75, F2, 4, 135) (dual of [(75, 4), 45, 136]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(3216, 25, F32, 16) (dual of [25, 9, 17]-code or 25-arc in PG(15,32)), using
- discarding factors / shortening the dual code based on linear OA(3216, 32, F32, 16) (dual of [32, 16, 17]-code or 32-arc in PG(15,32)), using
- Reed–Solomon code RS(16,32) [i]
- discarding factors / shortening the dual code based on linear OA(3216, 32, F32, 16) (dual of [32, 16, 17]-code or 32-arc in PG(15,32)), 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(3216, 25, F32, 16) (dual of [25, 9, 17]-code or 25-arc in PG(15,32)), using
- concatenation of two NRT-codes [i] based on
- strength reduction [i] based on linear OOA(2255, 75, F2, 4, 135) (dual of [(75, 4), 45, 136]-NRT-code), 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(2260, 76, F2, 4, 129) (dual of [(76, 4), 44, 130]-NRT-code) | [i] | OOA Duplication | |