Information on Result #2268146
Linear OA(3243, 411, F3, 80) (dual of [411, 168, 81]-code), using 2 times code embedding in larger space based on linear OA(3241, 409, F3, 80) (dual of [409, 168, 81]-code), using
- 1 times truncation [i] based on linear OA(3242, 410, F3, 81) (dual of [410, 168, 82]-code), using
- concatenation of two codes [i] based on
- linear OA(8140, 82, F81, 40) (dual of [82, 42, 41]-code or 82-arc in PG(39,81)), using
- extended Reed–Solomon code RSe(42,81) [i]
- linear OA(31, 5, F3, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(8140, 82, F81, 40) (dual of [82, 42, 41]-code or 82-arc in PG(39,81)), using
- concatenation of two codes [i] based on
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(3243, 137, F3, 3, 80) (dual of [(137, 3), 168, 81]-NRT-code) | [i] | OOA Folding |