Information on Result #1029144
Linear OOA(3237, 84, F3, 3, 169) (dual of [(84, 3), 15, 170]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(2716, 21, F27, 16) (dual of [21, 5, 17]-code or 21-arc in PG(15,27)), using
- discarding factors / shortening the dual code based on linear OA(2716, 27, F27, 16) (dual of [27, 11, 17]-code or 27-arc in PG(15,27)), using
- Reed–Solomon code RS(11,27) [i]
- discarding factors / shortening the dual code based on linear OA(2716, 27, F27, 16) (dual of [27, 11, 17]-code or 27-arc in PG(15,27)), using
- linear OOA(39, 4, F3, 3, 9) (dual of [(4, 3), 3, 10]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;3,3) [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(3237, 84, F3, 3, 168) (dual of [(84, 3), 15, 169]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3238, 84, F3, 3, 169) (dual of [(84, 3), 14, 170]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3236, 83, F3, 3, 168) (dual of [(83, 3), 13, 169]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(3235, 83, F3, 3, 167) (dual of [(83, 3), 14, 168]-NRT-code) | [i] | ||
| 5 | Linear OOA(3234, 83, F3, 3, 166) (dual of [(83, 3), 15, 167]-NRT-code) | [i] | ||
| 6 | Linear OOA(3233, 82, F3, 3, 165) (dual of [(82, 3), 13, 166]-NRT-code) | [i] | ||
| 7 | Linear OOA(3232, 82, F3, 3, 164) (dual of [(82, 3), 14, 165]-NRT-code) | [i] | ||
| 8 | Linear OOA(3231, 82, F3, 3, 163) (dual of [(82, 3), 15, 164]-NRT-code) | [i] | ||
| 9 | Linear OOA(3230, 81, F3, 3, 162) (dual of [(81, 3), 13, 163]-NRT-code) | [i] | ||
| 10 | Linear OOA(3226, 80, F3, 3, 158) (dual of [(80, 3), 14, 159]-NRT-code) | [i] | ||
| 11 | Linear OOA(3223, 79, F3, 3, 155) (dual of [(79, 3), 14, 156]-NRT-code) | [i] | ||
| 12 | Linear OOA(3222, 79, F3, 3, 154) (dual of [(79, 3), 15, 155]-NRT-code) | [i] | ||
| 13 | Linear OOA(3220, 78, F3, 3, 152) (dual of [(78, 3), 14, 153]-NRT-code) | [i] | ||
| 14 | Linear OOA(3218, 77, F3, 3, 150) (dual of [(77, 3), 13, 151]-NRT-code) | [i] | ||
| 15 | Linear OOA(3217, 77, F3, 3, 149) (dual of [(77, 3), 14, 150]-NRT-code) | [i] | ||
| 16 | Linear OOA(3216, 77, F3, 3, 148) (dual of [(77, 3), 15, 149]-NRT-code) | [i] | ||