Information on Result #1058273
Linear OOA(2144, 37, F2, 4, 96) (dual of [(37, 4), 4, 97]-NRT-code), using OOA 2-folding based on linear OOA(2144, 74, F2, 2, 96) (dual of [(74, 2), 4, 97]-NRT-code), using
- 2 step truncation [i] based on linear OOA(2146, 75, F2, 2, 98) (dual of [(75, 2), 4, 99]-NRT-code), using
- strength reduction [i] based on linear OOA(2146, 75, F2, 2, 99) (dual of [(75, 2), 4, 100]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(423, 25, F4, 19) (dual of [25, 2, 20]-code), using
- repeating each code word 5 times [i] based on linear OA(43, 5, F4, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
- extended Reed–Solomon code RSe(2,4) [i]
- Simplex code S(2,4) [i]
- repeating each code word 5 times [i] based on linear OA(43, 5, F4, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
- linear OOA(24, 3, F2, 2, 4) (dual of [(3, 2), 2, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;2,2) [i]
- linear OA(423, 25, F4, 19) (dual of [25, 2, 20]-code), using
- concatenation of two NRT-codes [i] based on
- strength reduction [i] based on linear OOA(2146, 75, F2, 2, 99) (dual of [(75, 2), 4, 100]-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(2231, 70, F2, 4, 96) (dual of [(70, 4), 49, 97]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |