Information on Result #1029147
Linear OOA(3210, 72, F3, 3, 169) (dual of [(72, 3), 6, 170]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(2716, 18, F27, 16) (dual of [18, 2, 17]-code or 18-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(3210, 72, F3, 3, 168) (dual of [(72, 3), 6, 169]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3210, 72, F3, 3, 167) (dual of [(72, 3), 6, 168]-NRT-code) | [i] | ||
| 3 | Linear OOA(3210, 72, F3, 3, 166) (dual of [(72, 3), 6, 167]-NRT-code) | [i] | ||
| 4 | Linear OOA(3210, 72, F3, 3, 165) (dual of [(72, 3), 6, 166]-NRT-code) | [i] | ||
| 5 | Linear OOA(3210, 72, F3, 3, 164) (dual of [(72, 3), 6, 165]-NRT-code) | [i] | ||
| 6 | Linear OOA(3211, 72, F3, 3, 169) (dual of [(72, 3), 5, 170]-NRT-code) | [i] | OOA Duplication | |
| 7 | Linear OOA(3208, 71, F3, 3, 167) (dual of [(71, 3), 5, 168]-NRT-code) | [i] | Truncation for OOAs | |
| 8 | Linear OOA(3207, 71, F3, 3, 166) (dual of [(71, 3), 6, 167]-NRT-code) | [i] | ||
| 9 | Linear OOA(3205, 70, F3, 3, 164) (dual of [(70, 3), 5, 165]-NRT-code) | [i] | ||
| 10 | Linear OOA(3204, 70, F3, 3, 163) (dual of [(70, 3), 6, 164]-NRT-code) | [i] | ||
| 11 | Linear OOA(3202, 69, F3, 3, 161) (dual of [(69, 3), 5, 162]-NRT-code) | [i] | ||
| 12 | Linear OOA(3201, 69, F3, 3, 160) (dual of [(69, 3), 6, 161]-NRT-code) | [i] | ||
| 13 | Linear OOA(3199, 68, F3, 3, 158) (dual of [(68, 3), 5, 159]-NRT-code) | [i] | ||
| 14 | Linear OOA(3195, 67, F3, 3, 154) (dual of [(67, 3), 6, 155]-NRT-code) | [i] | ||
| 15 | Linear OOA(3192, 66, F3, 3, 151) (dual of [(66, 3), 6, 152]-NRT-code) | [i] | ||
| 16 | Linear OOA(3189, 65, F3, 3, 148) (dual of [(65, 3), 6, 149]-NRT-code) | [i] | ||