Information on Result #1029153
Linear OOA(3234, 80, F3, 3, 189) (dual of [(80, 3), 6, 190]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(2718, 20, F27, 18) (dual of [20, 2, 19]-code or 20-arc in PG(17,27)), using
- discarding factors / shortening the dual code based on linear OA(2718, 27, F27, 18) (dual of [27, 9, 19]-code or 27-arc in PG(17,27)), using
- Reed–Solomon code RS(9,27) [i]
- discarding factors / shortening the dual code based on linear OA(2718, 27, F27, 18) (dual of [27, 9, 19]-code or 27-arc in PG(17,27)), 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(3234, 80, F3, 3, 188) (dual of [(80, 3), 6, 189]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3234, 80, F3, 3, 187) (dual of [(80, 3), 6, 188]-NRT-code) | [i] | ||
| 3 | Linear OOA(3234, 80, F3, 3, 186) (dual of [(80, 3), 6, 187]-NRT-code) | [i] | ||
| 4 | Linear OOA(3234, 80, F3, 3, 185) (dual of [(80, 3), 6, 186]-NRT-code) | [i] | ||
| 5 | Linear OOA(3234, 80, F3, 3, 184) (dual of [(80, 3), 6, 185]-NRT-code) | [i] | ||
| 6 | Linear OOA(3234, 80, F3, 3, 183) (dual of [(80, 3), 6, 184]-NRT-code) | [i] | ||
| 7 | Linear OOA(3234, 80, F3, 3, 182) (dual of [(80, 3), 6, 183]-NRT-code) | [i] | ||
| 8 | Linear OOA(3235, 80, F3, 3, 189) (dual of [(80, 3), 5, 190]-NRT-code) | [i] | OOA Duplication | |
| 9 | Linear OOA(3232, 79, F3, 3, 187) (dual of [(79, 3), 5, 188]-NRT-code) | [i] | Truncation for OOAs | |
| 10 | Linear OOA(3231, 79, F3, 3, 186) (dual of [(79, 3), 6, 187]-NRT-code) | [i] | ||
| 11 | Linear OOA(3229, 78, F3, 3, 184) (dual of [(78, 3), 5, 185]-NRT-code) | [i] | ||
| 12 | Linear OOA(3228, 78, F3, 3, 183) (dual of [(78, 3), 6, 184]-NRT-code) | [i] | ||
| 13 | Linear OOA(3226, 77, F3, 3, 181) (dual of [(77, 3), 5, 182]-NRT-code) | [i] | ||
| 14 | Linear OOA(3225, 77, F3, 3, 180) (dual of [(77, 3), 6, 181]-NRT-code) | [i] | ||
| 15 | Linear OOA(3223, 76, F3, 3, 178) (dual of [(76, 3), 5, 179]-NRT-code) | [i] | ||
| 16 | Linear OOA(3220, 75, F3, 3, 175) (dual of [(75, 3), 5, 176]-NRT-code) | [i] | ||
| 17 | Linear OOA(3219, 75, F3, 3, 174) (dual of [(75, 3), 6, 175]-NRT-code) | [i] | ||
| 18 | Linear OOA(3217, 74, F3, 3, 172) (dual of [(74, 3), 5, 173]-NRT-code) | [i] | ||
| 19 | Linear OOA(3216, 74, F3, 3, 171) (dual of [(74, 3), 6, 172]-NRT-code) | [i] | ||
| 20 | Linear OOA(3213, 73, F3, 3, 168) (dual of [(73, 3), 6, 169]-NRT-code) | [i] | ||
| 21 | Linear OOA(3208, 71, F3, 3, 163) (dual of [(71, 3), 5, 164]-NRT-code) | [i] | ||
| 22 | Linear OOA(3207, 71, F3, 3, 162) (dual of [(71, 3), 6, 163]-NRT-code) | [i] | ||
| 23 | Linear OOA(3204, 70, F3, 3, 159) (dual of [(70, 3), 6, 160]-NRT-code) | [i] | ||