Information on Result #2628706
Linear OOA(3243, 84, F3, 3, 187) (dual of [(84, 3), 9, 188]-NRT-code), using strength reduction based on linear OOA(3243, 84, F3, 3, 189) (dual of [(84, 3), 9, 190]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(2718, 21, F27, 18) (dual of [21, 3, 19]-code or 21-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]
- linear OA(2718, 21, F27, 18) (dual of [21, 3, 19]-code or 21-arc in PG(17,27)), using
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(3246, 85, F3, 3, 187) (dual of [(85, 3), 9, 188]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3249, 86, F3, 3, 187) (dual of [(86, 3), 9, 188]-NRT-code) | [i] | ||
| 3 | Linear OOA(3244, 84, F3, 3, 187) (dual of [(84, 3), 8, 188]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(3242, 83, F3, 3, 186) (dual of [(83, 3), 7, 187]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(3241, 83, F3, 3, 185) (dual of [(83, 3), 8, 186]-NRT-code) | [i] | ||
| 6 | Linear OOA(3240, 83, F3, 3, 184) (dual of [(83, 3), 9, 185]-NRT-code) | [i] | ||
| 7 | Linear OOA(3239, 82, F3, 3, 183) (dual of [(82, 3), 7, 184]-NRT-code) | [i] | ||
| 8 | Linear OOA(3238, 82, F3, 3, 182) (dual of [(82, 3), 8, 183]-NRT-code) | [i] | ||
| 9 | Linear OOA(3237, 82, F3, 3, 181) (dual of [(82, 3), 9, 182]-NRT-code) | [i] | ||
| 10 | Linear OOA(3236, 81, F3, 3, 180) (dual of [(81, 3), 7, 181]-NRT-code) | [i] | ||
| 11 | Linear OOA(3235, 81, F3, 3, 179) (dual of [(81, 3), 8, 180]-NRT-code) | [i] | ||
| 12 | Linear OOA(3234, 81, F3, 3, 178) (dual of [(81, 3), 9, 179]-NRT-code) | [i] | ||
| 13 | Linear OOA(3232, 80, F3, 3, 176) (dual of [(80, 3), 8, 177]-NRT-code) | [i] | ||
| 14 | Linear OOA(3229, 79, F3, 3, 173) (dual of [(79, 3), 8, 174]-NRT-code) | [i] | ||
| 15 | Linear OOA(3228, 79, F3, 3, 172) (dual of [(79, 3), 9, 173]-NRT-code) | [i] | ||
| 16 | Linear OOA(3226, 78, F3, 3, 170) (dual of [(78, 3), 8, 171]-NRT-code) | [i] | ||
| 17 | Linear OOA(3225, 78, F3, 3, 169) (dual of [(78, 3), 9, 170]-NRT-code) | [i] | ||
| 18 | Linear OOA(3223, 77, F3, 3, 167) (dual of [(77, 3), 8, 168]-NRT-code) | [i] | ||
| 19 | Linear OOA(3222, 77, F3, 3, 166) (dual of [(77, 3), 9, 167]-NRT-code) | [i] | ||