Information on Result #911057
Linear OOA(2158, 81, F2, 2, 104) (dual of [(81, 2), 4, 105]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(425, 27, F4, 20) (dual of [27, 2, 21]-code), using
- 3 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
- 3 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(2158, 81, F2, 2, 103) (dual of [(81, 2), 4, 104]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2158, 81, F2, 2, 102) (dual of [(81, 2), 4, 103]-NRT-code) | [i] | ||
| 3 | Linear OOA(2158, 81, F2, 2, 101) (dual of [(81, 2), 4, 102]-NRT-code) | [i] | ||
| 4 | Linear OOA(2158, 81, F2, 2, 100) (dual of [(81, 2), 4, 101]-NRT-code) | [i] | ||