Information on Result #913612
Linear OOA(4221, 115, F4, 2, 167) (dual of [(115, 2), 9, 168]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(6420, 23, F64, 20) (dual of [23, 3, 21]-code or 23-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(4221, 115, F4, 2, 166) (dual of [(115, 2), 9, 167]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4221, 115, F4, 2, 165) (dual of [(115, 2), 9, 166]-NRT-code) | [i] | ||
| 3 | Linear OOA(4221, 115, F4, 2, 164) (dual of [(115, 2), 9, 165]-NRT-code) | [i] | ||
| 4 | Linear OOA(4221, 115, F4, 2, 163) (dual of [(115, 2), 9, 164]-NRT-code) | [i] | ||
| 5 | Linear OOA(4221, 115, F4, 2, 162) (dual of [(115, 2), 9, 163]-NRT-code) | [i] | ||
| 6 | Linear OOA(4221, 115, F4, 2, 161) (dual of [(115, 2), 9, 162]-NRT-code) | [i] | ||
| 7 | Linear OOA(4220, 114, F4, 2, 166) (dual of [(114, 2), 8, 167]-NRT-code) | [i] | Truncation for OOAs | |
| 8 | Linear OOA(4219, 114, F4, 2, 165) (dual of [(114, 2), 9, 166]-NRT-code) | [i] | ||
| 9 | Linear OOA(4218, 113, F4, 2, 164) (dual of [(113, 2), 8, 165]-NRT-code) | [i] | ||
| 10 | Linear OOA(4217, 113, F4, 2, 163) (dual of [(113, 2), 9, 164]-NRT-code) | [i] | ||
| 11 | Linear OOA(4216, 112, F4, 2, 162) (dual of [(112, 2), 8, 163]-NRT-code) | [i] | ||
| 12 | Linear OOA(4215, 112, F4, 2, 161) (dual of [(112, 2), 9, 162]-NRT-code) | [i] | ||
| 13 | Linear OOA(4214, 111, F4, 2, 160) (dual of [(111, 2), 8, 161]-NRT-code) | [i] | ||
| 14 | Linear OOA(4213, 111, F4, 2, 159) (dual of [(111, 2), 9, 160]-NRT-code) | [i] | ||
| 15 | Linear OOA(4210, 109, F4, 2, 156) (dual of [(109, 2), 8, 157]-NRT-code) | [i] | ||
| 16 | Linear OOA(4209, 109, F4, 2, 155) (dual of [(109, 2), 9, 156]-NRT-code) | [i] | ||
| 17 | Linear OOA(4208, 108, F4, 2, 154) (dual of [(108, 2), 8, 155]-NRT-code) | [i] | ||
| 18 | Linear OOA(4207, 108, F4, 2, 153) (dual of [(108, 2), 9, 154]-NRT-code) | [i] | ||
| 19 | Linear OOA(4206, 107, F4, 2, 152) (dual of [(107, 2), 8, 153]-NRT-code) | [i] | ||
| 20 | Linear OOA(4205, 107, F4, 2, 151) (dual of [(107, 2), 9, 152]-NRT-code) | [i] | ||
| 21 | Linear OOA(4204, 106, F4, 2, 150) (dual of [(106, 2), 8, 151]-NRT-code) | [i] | ||
| 22 | Linear OOA(4203, 106, F4, 2, 149) (dual of [(106, 2), 9, 150]-NRT-code) | [i] | ||