Information on Result #941633
Linear OOA(2212, 108, F2, 2, 141) (dual of [(108, 2), 4, 142]-NRT-code), using juxtaposition based on
- linear OOA(24, 4, F2, 2, 3) (dual of [(4, 2), 4, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(24, 7, F2, 2, 3) (dual of [(7, 2), 10, 4]-NRT-code), using
- linear OOA(2204, 104, F2, 2, 137) (dual of [(104, 2), 4, 138]-NRT-code), using
- 2 step truncation [i] based on linear OOA(2206, 105, F2, 2, 139) (dual of [(105, 2), 4, 140]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(433, 35, F4, 27) (dual of [35, 2, 28]-code), using
- repeating each code word 7 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 7 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(24, 3, F2, 2, 4) (dual of [(3, 2), 2, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;2,2) [i]
- linear OA(433, 35, F4, 27) (dual of [35, 2, 28]-code), using
- concatenation of two NRT-codes [i] based on
- 2 step truncation [i] based on linear OOA(2206, 105, F2, 2, 139) (dual of [(105, 2), 4, 140]-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(2212, 108, F2, 2, 140) (dual of [(108, 2), 4, 141]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2212, 108, F2, 2, 139) (dual of [(108, 2), 4, 140]-NRT-code) | [i] | ||
| 3 | Linear OOA(2212, 108, F2, 2, 138) (dual of [(108, 2), 4, 139]-NRT-code) | [i] | ||
| 4 | Linear OOA(2212, 108, F2, 2, 137) (dual of [(108, 2), 4, 138]-NRT-code) | [i] | ||
| 5 | Linear OOA(2212, 108, F2, 2, 136) (dual of [(108, 2), 4, 137]-NRT-code) | [i] | ||
| 6 | Linear OOA(2212, 54, F2, 4, 141) (dual of [(54, 4), 4, 142]-NRT-code) | [i] | OOA Folding | |