Information on Result #1088053
Linear OOA(2222, 69, F2, 4, 104) (dual of [(69, 4), 54, 105]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(6414, 23, F64, 14) (dual of [23, 9, 15]-code or 23-arc in PG(13,64)), using
- discarding factors / shortening the dual code based on linear OA(6414, 64, F64, 14) (dual of [64, 50, 15]-code or 64-arc in PG(13,64)), using
- Reed–Solomon code RS(50,64) [i]
- discarding factors / shortening the dual code based on linear OA(6414, 64, F64, 14) (dual of [64, 50, 15]-code or 64-arc in PG(13,64)), using
- linear OOA(26, 3, F2, 4, 6) (dual of [(3, 4), 6, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;6,2) [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(2222, 69, F2, 4, 103) (dual of [(69, 4), 54, 104]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2222, 69, F2, 4, 102) (dual of [(69, 4), 54, 103]-NRT-code) | [i] | ||
| 3 | Linear OOA(2222, 69, F2, 4, 101) (dual of [(69, 4), 54, 102]-NRT-code) | [i] | ||
| 4 | Linear OOA(2222, 69, F2, 4, 100) (dual of [(69, 4), 54, 101]-NRT-code) | [i] | ||
| 5 | Linear OOA(2222, 69, F2, 4, 99) (dual of [(69, 4), 54, 100]-NRT-code) | [i] | ||
| 6 | Linear OOA(2223, 69, F2, 4, 104) (dual of [(69, 4), 53, 105]-NRT-code) | [i] | OOA Duplication | |
| 7 | Linear OOA(2224, 69, F2, 4, 104) (dual of [(69, 4), 52, 105]-NRT-code) | [i] | ||
| 8 | Linear OOA(2222, 34, F2, 7, 104) (dual of [(34, 7), 16, 105]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(2222, 34, F2, 8, 104) (dual of [(34, 8), 50, 105]-NRT-code) | [i] | ||