Information on Result #2684598
Linear OOA(3246, 85, F3, 3, 184) (dual of [(85, 3), 9, 185]-NRT-code), using 2 times NRT-code embedding in larger space based on linear OOA(3240, 83, F3, 3, 184) (dual of [(83, 3), 9, 185]-NRT-code), using
- 3 step truncation [i] based on linear OOA(3243, 84, F3, 3, 187) (dual of [(84, 3), 9, 188]-NRT-code), using
- strength reduction [i] 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
- concatenation of two NRT-codes [i] based on
- strength reduction [i] based on linear OOA(3243, 84, F3, 3, 189) (dual of [(84, 3), 9, 190]-NRT-code), 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(3247, 85, F3, 3, 184) (dual of [(85, 3), 8, 185]-NRT-code) | [i] | OOA Duplication | |