Information on Result #1029098
Linear OOA(3207, 75, F3, 3, 139) (dual of [(75, 3), 18, 140]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(2719, 25, F27, 19) (dual of [25, 6, 20]-code or 25-arc in PG(18,27)), using
- discarding factors / shortening the dual code based on linear OA(2719, 27, F27, 19) (dual of [27, 8, 20]-code or 27-arc in PG(18,27)), using
- Reed–Solomon code RS(8,27) [i]
- discarding factors / shortening the dual code based on linear OA(2719, 27, F27, 19) (dual of [27, 8, 20]-code or 27-arc in PG(18,27)), using
- linear OOA(36, 3, F3, 3, 6) (dual of [(3, 3), 3, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(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(3207, 75, F3, 3, 138) (dual of [(75, 3), 18, 139]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3207, 75, F3, 3, 137) (dual of [(75, 3), 18, 138]-NRT-code) | [i] | ||
| 3 | Linear OOA(3207, 75, F3, 3, 136) (dual of [(75, 3), 18, 137]-NRT-code) | [i] | ||
| 4 | Linear OOA(3207, 75, F3, 3, 135) (dual of [(75, 3), 18, 136]-NRT-code) | [i] | ||
| 5 | Linear OOA(3208, 75, F3, 3, 139) (dual of [(75, 3), 17, 140]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(3206, 74, F3, 3, 138) (dual of [(74, 3), 16, 139]-NRT-code) | [i] | Truncation for OOAs | |
| 7 | Linear OOA(3205, 74, F3, 3, 137) (dual of [(74, 3), 17, 138]-NRT-code) | [i] | ||
| 8 | Linear OOA(3204, 74, F3, 3, 136) (dual of [(74, 3), 18, 137]-NRT-code) | [i] | ||
| 9 | Linear OOA(3202, 73, F3, 3, 134) (dual of [(73, 3), 17, 135]-NRT-code) | [i] | ||
| 10 | Linear OOA(3201, 73, F3, 3, 133) (dual of [(73, 3), 18, 134]-NRT-code) | [i] | ||
| 11 | Linear OOA(3197, 71, F3, 3, 129) (dual of [(71, 3), 16, 130]-NRT-code) | [i] | ||