Information on Result #1028717
Linear OOA(2122, 54, F2, 3, 54) (dual of [(54, 3), 40, 55]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(3210, 18, F32, 10) (dual of [18, 8, 11]-code or 18-arc in PG(9,32)), using
- discarding factors / shortening the dual code based on linear OA(3210, 32, F32, 10) (dual of [32, 22, 11]-code or 32-arc in PG(9,32)), using
- Reed–Solomon code RS(22,32) [i]
- discarding factors / shortening the dual code based on linear OA(3210, 32, F32, 10) (dual of [32, 22, 11]-code or 32-arc in PG(9,32)), 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(2122, 54, F2, 3, 53) (dual of [(54, 3), 40, 54]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2123, 54, F2, 3, 54) (dual of [(54, 3), 39, 55]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2122, 27, F2, 6, 54) (dual of [(27, 6), 40, 55]-NRT-code) | [i] | OOA Folding | |