Information on Result #911068
Linear OOA(2170, 87, F2, 2, 114) (dual of [(87, 2), 4, 115]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(427, 29, F4, 22) (dual of [29, 2, 23]-code), using
- 1 times truncation [i] based on linear OA(428, 30, F4, 23) (dual of [30, 2, 24]-code), using
- repeating each code word 6 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 6 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
- 1 times truncation [i] based on linear OA(428, 30, F4, 23) (dual of [30, 2, 24]-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(2170, 87, F2, 2, 113) (dual of [(87, 2), 4, 114]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2170, 87, F2, 2, 112) (dual of [(87, 2), 4, 113]-NRT-code) | [i] | ||
| 3 | Linear OOA(2170, 87, F2, 2, 111) (dual of [(87, 2), 4, 112]-NRT-code) | [i] | ||
| 4 | Linear OOA(2170, 87, F2, 2, 110) (dual of [(87, 2), 4, 111]-NRT-code) | [i] | ||
| 5 | Linear OOA(2170, 87, F2, 2, 109) (dual of [(87, 2), 4, 110]-NRT-code) | [i] | ||
| 6 | Linear OOA(2168, 86, F2, 2, 112) (dual of [(86, 2), 4, 113]-NRT-code) | [i] | Truncation for OOAs | |
| 7 | Linear OOA(2155, 79, F2, 2, 99) (dual of [(79, 2), 3, 100]-NRT-code) | [i] | ||
| 8 | Linear OOA(2180, 92, F2, 2, 120) (dual of [(92, 2), 4, 121]-NRT-code) | [i] | Juxtaposition for OOAs | |