Information on Result #1029146
Linear OOA(3219, 76, F3, 3, 169) (dual of [(76, 3), 9, 170]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(2716, 19, F27, 16) (dual of [19, 3, 17]-code or 19-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(3219, 76, F3, 3, 168) (dual of [(76, 3), 9, 169]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3219, 76, F3, 3, 167) (dual of [(76, 3), 9, 168]-NRT-code) | [i] | ||
| 3 | Linear OOA(3219, 76, F3, 3, 166) (dual of [(76, 3), 9, 167]-NRT-code) | [i] | ||
| 4 | Linear OOA(3219, 76, F3, 3, 165) (dual of [(76, 3), 9, 166]-NRT-code) | [i] | ||
| 5 | Linear OOA(3219, 76, F3, 3, 164) (dual of [(76, 3), 9, 165]-NRT-code) | [i] | ||
| 6 | Linear OOA(3219, 76, F3, 3, 163) (dual of [(76, 3), 9, 164]-NRT-code) | [i] | ||
| 7 | Linear OOA(3220, 76, F3, 3, 169) (dual of [(76, 3), 8, 170]-NRT-code) | [i] | OOA Duplication | |
| 8 | Linear OOA(3218, 75, F3, 3, 168) (dual of [(75, 3), 7, 169]-NRT-code) | [i] | Truncation for OOAs | |
| 9 | Linear OOA(3217, 75, F3, 3, 167) (dual of [(75, 3), 8, 168]-NRT-code) | [i] | ||
| 10 | Linear OOA(3216, 75, F3, 3, 166) (dual of [(75, 3), 9, 167]-NRT-code) | [i] | ||
| 11 | Linear OOA(3215, 74, F3, 3, 165) (dual of [(74, 3), 7, 166]-NRT-code) | [i] | ||
| 12 | Linear OOA(3214, 74, F3, 3, 164) (dual of [(74, 3), 8, 165]-NRT-code) | [i] | ||
| 13 | Linear OOA(3213, 74, F3, 3, 163) (dual of [(74, 3), 9, 164]-NRT-code) | [i] | ||
| 14 | Linear OOA(3212, 73, F3, 3, 162) (dual of [(73, 3), 7, 163]-NRT-code) | [i] | ||
| 15 | Linear OOA(3211, 73, F3, 3, 161) (dual of [(73, 3), 8, 162]-NRT-code) | [i] | ||
| 16 | Linear OOA(3210, 73, F3, 3, 160) (dual of [(73, 3), 9, 161]-NRT-code) | [i] | ||
| 17 | Linear OOA(3208, 72, F3, 3, 158) (dual of [(72, 3), 8, 159]-NRT-code) | [i] | ||
| 18 | Linear OOA(3205, 71, F3, 3, 155) (dual of [(71, 3), 8, 156]-NRT-code) | [i] | ||
| 19 | Linear OOA(3204, 71, F3, 3, 154) (dual of [(71, 3), 9, 155]-NRT-code) | [i] | ||
| 20 | Linear OOA(3201, 70, F3, 3, 151) (dual of [(70, 3), 9, 152]-NRT-code) | [i] | ||
| 21 | Linear OOA(3198, 69, F3, 3, 148) (dual of [(69, 3), 9, 149]-NRT-code) | [i] | ||