Information on Result #911129
Linear OOA(2156, 80, F2, 2, 103) (dual of [(80, 2), 4, 104]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(48, 10, F4, 7) (dual of [10, 2, 8]-code), using
- repeating each code word 2 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 2 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(214, 8, F2, 2, 12) (dual of [(8, 2), 2, 13]-NRT-code), using
- 2 step truncation [i] based on linear OOA(216, 9, F2, 2, 14) (dual of [(9, 2), 2, 15]-NRT-code), using
- repeating each code word 3 times [i] based on 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]
- repeating each code word 3 times [i] based on linear OOA(24, 3, F2, 2, 4) (dual of [(3, 2), 2, 5]-NRT-code), using
- 2 step truncation [i] based on linear OOA(216, 9, F2, 2, 14) (dual of [(9, 2), 2, 15]-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(2156, 80, F2, 2, 102) (dual of [(80, 2), 4, 103]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2156, 80, F2, 2, 101) (dual of [(80, 2), 4, 102]-NRT-code) | [i] | ||
| 3 | Linear OOA(2156, 80, F2, 2, 100) (dual of [(80, 2), 4, 101]-NRT-code) | [i] | ||
| 4 | Linear OOA(2156, 40, F2, 4, 103) (dual of [(40, 4), 4, 104]-NRT-code) | [i] | OOA Folding | |