Information on Result #911104
Linear OOA(2224, 114, F2, 2, 149) (dual of [(114, 2), 4, 150]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(436, 38, F4, 29) (dual of [38, 2, 30]-code), using
- 2 times truncation [i] based on linear OA(438, 40, F4, 31) (dual of [40, 2, 32]-code), using
- repeating each code word 8 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 8 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
- 2 times truncation [i] based on linear OA(438, 40, F4, 31) (dual of [40, 2, 32]-code), 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]
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(2224, 114, F2, 2, 148) (dual of [(114, 2), 4, 149]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2224, 114, F2, 2, 147) (dual of [(114, 2), 4, 148]-NRT-code) | [i] | ||
| 3 | Linear OOA(2224, 114, F2, 2, 146) (dual of [(114, 2), 4, 147]-NRT-code) | [i] | ||
| 4 | Linear OOA(2224, 114, F2, 2, 145) (dual of [(114, 2), 4, 146]-NRT-code) | [i] | ||
| 5 | Linear OOA(2224, 114, F2, 2, 144) (dual of [(114, 2), 4, 145]-NRT-code) | [i] | ||
| 6 | Linear OOA(2224, 114, F2, 2, 143) (dual of [(114, 2), 4, 144]-NRT-code) | [i] | ||
| 7 | Linear OOA(2224, 114, F2, 2, 142) (dual of [(114, 2), 4, 143]-NRT-code) | [i] | ||
| 8 | Linear OOA(2224, 57, F2, 4, 149) (dual of [(57, 4), 4, 150]-NRT-code) | [i] | OOA Folding | |