Information on Result #1028473
Linear OOA(2110, 42, F2, 3, 65) (dual of [(42, 3), 16, 66]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(1610, 14, F16, 10) (dual of [14, 4, 11]-code or 14-arc in PG(9,16)), using
- discarding factors / shortening the dual code based on linear OA(1610, 16, F16, 10) (dual of [16, 6, 11]-code or 16-arc in PG(9,16)), using
- Reed–Solomon code RS(6,16) [i]
- discarding factors / shortening the dual code based on linear OA(1610, 16, F16, 10) (dual of [16, 6, 11]-code or 16-arc in PG(9,16)), using
- linear OOA(25, 3, F2, 3, 5) (dual of [(3, 3), 4, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;4,2) [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(2110, 42, F2, 3, 64) (dual of [(42, 3), 16, 65]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2110, 42, F2, 3, 63) (dual of [(42, 3), 16, 64]-NRT-code) | [i] | ||
| 3 | Linear OOA(2110, 42, F2, 3, 62) (dual of [(42, 3), 16, 63]-NRT-code) | [i] | ||
| 4 | Linear OOA(2110, 42, F2, 3, 61) (dual of [(42, 3), 16, 62]-NRT-code) | [i] | ||
| 5 | Linear OOA(2111, 42, F2, 3, 65) (dual of [(42, 3), 15, 66]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(2112, 42, F2, 3, 65) (dual of [(42, 3), 14, 66]-NRT-code) | [i] | ||
| 7 | Linear OOA(2109, 41, F2, 3, 64) (dual of [(41, 3), 14, 65]-NRT-code) | [i] | Truncation for OOAs | |
| 8 | Linear OOA(2108, 41, F2, 3, 63) (dual of [(41, 3), 15, 64]-NRT-code) | [i] | ||
| 9 | Linear OOA(2107, 41, F2, 3, 62) (dual of [(41, 3), 16, 63]-NRT-code) | [i] | ||
| 10 | Linear OOA(2106, 40, F2, 3, 61) (dual of [(40, 3), 14, 62]-NRT-code) | [i] | ||
| 11 | Linear OOA(2105, 40, F2, 3, 60) (dual of [(40, 3), 15, 61]-NRT-code) | [i] | ||
| 12 | Linear OOA(2104, 40, F2, 3, 59) (dual of [(40, 3), 16, 60]-NRT-code) | [i] | ||
| 13 | Linear OOA(2103, 39, F2, 3, 58) (dual of [(39, 3), 14, 59]-NRT-code) | [i] | ||
| 14 | Linear OOA(2102, 39, F2, 3, 57) (dual of [(39, 3), 15, 58]-NRT-code) | [i] | ||
| 15 | Linear OOA(2110, 21, F2, 6, 65) (dual of [(21, 6), 16, 66]-NRT-code) | [i] | OOA Folding | |