Information on Result #911123
Linear OOA(2254, 129, F2, 2, 169) (dual of [(129, 2), 4, 170]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(441, 43, F4, 33) (dual of [43, 2, 34]-code), using
- 2 times truncation [i] based on linear OA(443, 45, F4, 35) (dual of [45, 2, 36]-code), using
- repeating each code word 9 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 9 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(443, 45, F4, 35) (dual of [45, 2, 36]-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(2254, 129, F2, 2, 168) (dual of [(129, 2), 4, 169]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2254, 129, F2, 2, 167) (dual of [(129, 2), 4, 168]-NRT-code) | [i] | ||
| 3 | Linear OOA(2254, 129, F2, 2, 166) (dual of [(129, 2), 4, 167]-NRT-code) | [i] | ||
| 4 | Linear OOA(2254, 129, F2, 2, 165) (dual of [(129, 2), 4, 166]-NRT-code) | [i] | ||
| 5 | Linear OOA(2254, 129, F2, 2, 164) (dual of [(129, 2), 4, 165]-NRT-code) | [i] | ||
| 6 | Linear OOA(2254, 129, F2, 2, 163) (dual of [(129, 2), 4, 164]-NRT-code) | [i] | ||
| 7 | Linear OOA(2254, 129, F2, 2, 162) (dual of [(129, 2), 4, 163]-NRT-code) | [i] | ||
| 8 | Linear OOA(2254, 129, F2, 2, 161) (dual of [(129, 2), 4, 162]-NRT-code) | [i] | ||