Information on Result #1029117
Linear OOA(3222, 78, F3, 3, 160) (dual of [(78, 3), 12, 161]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(2722, 26, F27, 22) (dual of [26, 4, 23]-code or 26-arc in PG(21,27)), using
- discarding factors / shortening the dual code based on linear OA(2722, 27, F27, 22) (dual of [27, 5, 23]-code or 27-arc in PG(21,27)), using
- Reed–Solomon code RS(5,27) [i]
- discarding factors / shortening the dual code based on linear OA(2722, 27, F27, 22) (dual of [27, 5, 23]-code or 27-arc in PG(21,27)), 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(3222, 78, F3, 3, 159) (dual of [(78, 3), 12, 160]-NRT-code) | [i] | Strength Reduction for OOAs | |
2 | Linear OOA(3222, 78, F3, 3, 158) (dual of [(78, 3), 12, 159]-NRT-code) | [i] |