Information on Result #633715
Linear OA(3245, 345, F3, 89) (dual of [345, 100, 90]-code), using concatenation of two codes based on
- linear OA(8144, 69, F81, 44) (dual of [69, 25, 45]-code or 69-arc in PG(43,81)), using
- discarding factors / shortening the dual code based on linear OA(8144, 81, F81, 44) (dual of [81, 37, 45]-code or 81-arc in PG(43,81)), using
- Reed–Solomon code RS(37,81) [i]
- discarding factors / shortening the dual code based on linear OA(8144, 81, F81, 44) (dual of [81, 37, 45]-code or 81-arc in PG(43,81)), using
- 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
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 OA(3244, 344, F3, 88) (dual of [344, 100, 89]-code) | [i] | Truncation | |
| 2 | Linear OOA(3245, 115, F3, 3, 89) (dual of [(115, 3), 100, 90]-NRT-code) | [i] | OOA Folding | |