Information on Result #610378
Linear OA(354, 56, F3, 41) (dual of [56, 2, 42]-code), using repeating each code word 14 times based on linear OA(32, 4, F3, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,3)), using
- extended Reed–Solomon code RSe(2,3) [i]
- Hamming code H(2,3) [i]
- Simplex code S(2,3) [i]
- the Tetracode [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.
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(354, 56, F3, 40) (dual of [56, 2, 41]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(354, 56, F3, 39) (dual of [56, 2, 40]-code) | [i] | ||
| 3 | Linear OA(353, 55, F3, 40) (dual of [55, 2, 41]-code) | [i] | Truncation | |
| 4 | Linear OA(352, 54, F3, 39) (dual of [54, 2, 40]-code) | [i] | ||
| 5 | Linear OA(351, 53, F3, 38) (dual of [53, 2, 39]-code) | [i] | ||
| 6 | Linear OA(349, 51, F3, 36) (dual of [51, 2, 37]-code) | [i] | ||
| 7 | Linear OA(348, 50, F3, 35) (dual of [50, 2, 36]-code) | [i] | ||
| 8 | Linear OA(347, 49, F3, 34) (dual of [49, 2, 35]-code) | [i] | ||
| 9 | Linear OOA(354, 28, F3, 2, 41) (dual of [(28, 2), 2, 42]-NRT-code) | [i] | OOA Folding | |