Information on Result #631511
Linear OA(363, 108, F3, 25) (dual of [108, 45, 26]-code), using concatenation of two codes based on
- linear OA(2712, 27, F27, 12) (dual of [27, 15, 13]-code or 27-arc in PG(11,27)), using
- Reed–Solomon code RS(15,27) [i]
- linear OA(31, 4, F3, 1) (dual of [4, 3, 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.
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(362, 107, F3, 24) (dual of [107, 45, 25]-code) | [i] | Truncation | |
| 2 | Linear OA(368, 123, F3, 25) (dual of [123, 55, 26]-code) | [i] | Varšamov–Edel Lengthening | |
| 3 | Linear OA(369, 128, F3, 25) (dual of [128, 59, 26]-code) | [i] | ||
| 4 | Linear OOA(363, 54, F3, 2, 25) (dual of [(54, 2), 45, 26]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(363, 36, F3, 3, 25) (dual of [(36, 3), 45, 26]-NRT-code) | [i] | ||