Information on Result #911131
Linear OOA(2216, 110, F2, 2, 143) (dual of [(110, 2), 4, 144]-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(220, 11, F2, 2, 17) (dual of [(11, 2), 2, 18]-NRT-code), using
- 2 step truncation [i] based on linear OOA(222, 12, F2, 2, 19) (dual of [(12, 2), 2, 20]-NRT-code), using
- repeating each code word 4 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 4 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(222, 12, F2, 2, 19) (dual of [(12, 2), 2, 20]-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(2216, 110, F2, 2, 142) (dual of [(110, 2), 4, 143]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2216, 110, F2, 2, 141) (dual of [(110, 2), 4, 142]-NRT-code) | [i] | ||
| 3 | Linear OOA(2216, 110, F2, 2, 140) (dual of [(110, 2), 4, 141]-NRT-code) | [i] | ||
| 4 | Linear OOA(2216, 55, F2, 4, 143) (dual of [(55, 4), 4, 144]-NRT-code) | [i] | OOA Folding | |