Information on Result #913601
Linear OOA(4208, 110, F4, 2, 151) (dual of [(110, 2), 12, 152]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(6418, 22, F64, 18) (dual of [22, 4, 19]-code or 22-arc in PG(17,64)), using
- discarding factors / shortening the dual code based on linear OA(6418, 64, F64, 18) (dual of [64, 46, 19]-code or 64-arc in PG(17,64)), using
- Reed–Solomon code RS(46,64) [i]
- discarding factors / shortening the dual code based on linear OA(6418, 64, F64, 18) (dual of [64, 46, 19]-code or 64-arc in PG(17,64)), 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(4208, 110, F4, 2, 150) (dual of [(110, 2), 12, 151]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4208, 110, F4, 2, 149) (dual of [(110, 2), 12, 150]-NRT-code) | [i] | ||
| 3 | Linear OOA(4208, 110, F4, 2, 148) (dual of [(110, 2), 12, 149]-NRT-code) | [i] | ||
| 4 | Linear OOA(4209, 110, F4, 2, 151) (dual of [(110, 2), 11, 152]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(4207, 109, F4, 2, 150) (dual of [(109, 2), 11, 151]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(4206, 109, F4, 2, 149) (dual of [(109, 2), 12, 150]-NRT-code) | [i] | ||
| 7 | Linear OOA(4205, 108, F4, 2, 148) (dual of [(108, 2), 11, 149]-NRT-code) | [i] | ||
| 8 | Linear OOA(4204, 108, F4, 2, 147) (dual of [(108, 2), 12, 148]-NRT-code) | [i] | ||
| 9 | Linear OOA(4203, 107, F4, 2, 146) (dual of [(107, 2), 11, 147]-NRT-code) | [i] | ||
| 10 | Linear OOA(4202, 107, F4, 2, 145) (dual of [(107, 2), 12, 146]-NRT-code) | [i] | ||
| 11 | Linear OOA(4201, 106, F4, 2, 144) (dual of [(106, 2), 11, 145]-NRT-code) | [i] | ||
| 12 | Linear OOA(4200, 106, F4, 2, 143) (dual of [(106, 2), 12, 144]-NRT-code) | [i] | ||
| 13 | Linear OOA(4199, 105, F4, 2, 142) (dual of [(105, 2), 11, 143]-NRT-code) | [i] | ||
| 14 | Linear OOA(4197, 104, F4, 2, 140) (dual of [(104, 2), 11, 141]-NRT-code) | [i] | ||