Information on Result #610381
Linear OA(342, 44, F3, 32) (dual of [44, 2, 33]-code), using repeating each code word 11 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(342, 44, F3, 31) (dual of [44, 2, 32]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(342, 44, F3, 30) (dual of [44, 2, 31]-code) | [i] | ||
| 3 | Linear OA(341, 43, F3, 31) (dual of [43, 2, 32]-code) | [i] | Truncation | |
| 4 | Linear OA(340, 42, F3, 30) (dual of [42, 2, 31]-code) | [i] | ||
| 5 | Linear OA(339, 41, F3, 29) (dual of [41, 2, 30]-code) | [i] | ||
| 6 | Linear OA(337, 39, F3, 27) (dual of [39, 2, 28]-code) | [i] | ||
| 7 | Linear OOA(342, 22, F3, 2, 32) (dual of [(22, 2), 2, 33]-NRT-code) | [i] | OOA Folding | |