Information on Result #1028875
Linear OOA(2212, 84, F2, 3, 104) (dual of [(84, 3), 40, 105]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(3220, 28, F32, 20) (dual of [28, 8, 21]-code or 28-arc in PG(19,32)), using
- discarding factors / shortening the dual code based on linear OA(3220, 32, F32, 20) (dual of [32, 12, 21]-code or 32-arc in PG(19,32)), using
- Reed–Solomon code RS(12,32) [i]
- discarding factors / shortening the dual code based on linear OA(3220, 32, F32, 20) (dual of [32, 12, 21]-code or 32-arc in PG(19,32)), using
- linear OOA(24, 3, F2, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;5,2) [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(2212, 84, F2, 3, 103) (dual of [(84, 3), 40, 104]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2212, 84, F2, 3, 102) (dual of [(84, 3), 40, 103]-NRT-code) | [i] | ||
| 3 | Linear OOA(2215, 85, F2, 3, 104) (dual of [(85, 3), 40, 105]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 4 | Linear OOA(2213, 84, F2, 3, 104) (dual of [(84, 3), 39, 105]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(2212, 42, F2, 6, 104) (dual of [(42, 6), 40, 105]-NRT-code) | [i] | OOA Folding | |