Information on Result #913611
Linear OOA(4228, 120, F4, 2, 167) (dual of [(120, 2), 12, 168]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(6420, 24, F64, 20) (dual of [24, 4, 21]-code or 24-arc in PG(19,64)), using
- discarding factors / shortening the dual code based on linear OA(6420, 64, F64, 20) (dual of [64, 44, 21]-code or 64-arc in PG(19,64)), using
- Reed–Solomon code RS(44,64) [i]
- discarding factors / shortening the dual code based on linear OA(6420, 64, F64, 20) (dual of [64, 44, 21]-code or 64-arc in PG(19,64)), using
- linear OOA(47, 5, F4, 2, 7) (dual of [(5, 2), 3, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;3,4) [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(4228, 120, F4, 2, 166) (dual of [(120, 2), 12, 167]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4228, 120, F4, 2, 165) (dual of [(120, 2), 12, 166]-NRT-code) | [i] | ||
| 3 | Linear OOA(4228, 120, F4, 2, 164) (dual of [(120, 2), 12, 165]-NRT-code) | [i] | ||
| 4 | Linear OOA(4229, 120, F4, 2, 167) (dual of [(120, 2), 11, 168]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(4227, 119, F4, 2, 166) (dual of [(119, 2), 11, 167]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(4226, 119, F4, 2, 165) (dual of [(119, 2), 12, 166]-NRT-code) | [i] | ||
| 7 | Linear OOA(4225, 118, F4, 2, 164) (dual of [(118, 2), 11, 165]-NRT-code) | [i] | ||
| 8 | Linear OOA(4224, 118, F4, 2, 163) (dual of [(118, 2), 12, 164]-NRT-code) | [i] | ||
| 9 | Linear OOA(4223, 117, F4, 2, 162) (dual of [(117, 2), 11, 163]-NRT-code) | [i] | ||
| 10 | Linear OOA(4222, 117, F4, 2, 161) (dual of [(117, 2), 12, 162]-NRT-code) | [i] | ||
| 11 | Linear OOA(4221, 116, F4, 2, 160) (dual of [(116, 2), 11, 161]-NRT-code) | [i] | ||
| 12 | Linear OOA(4220, 116, F4, 2, 159) (dual of [(116, 2), 12, 160]-NRT-code) | [i] | ||
| 13 | Linear OOA(4219, 115, F4, 2, 158) (dual of [(115, 2), 11, 159]-NRT-code) | [i] | ||
| 14 | Linear OOA(4217, 114, F4, 2, 156) (dual of [(114, 2), 11, 157]-NRT-code) | [i] | ||