Information on Result #632646
Linear OA(3140, 161, F3, 67) (dual of [161, 21, 68]-code), using concatenation of two codes based on
- linear OA(2716, 23, F27, 16) (dual of [23, 7, 17]-code or 23-arc in PG(15,27)), using
- discarding factors / shortening the dual code based on linear OA(2716, 27, F27, 16) (dual of [27, 11, 17]-code or 27-arc in PG(15,27)), using
- Reed–Solomon code RS(11,27) [i]
- discarding factors / shortening the dual code based on linear OA(2716, 27, F27, 16) (dual of [27, 11, 17]-code or 27-arc in PG(15,27)), using
- linear OA(34, 7, F3, 3) (dual of [7, 3, 4]-code or 7-cap in PG(3,3)), 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3140, 161, F3, 66) (dual of [161, 21, 67]-code) | [i] | Strength Reduction | |