Information on Result #738090
Linear OA(3192, 200, F3, 122) (dual of [200, 8, 123]-code), using concatenation of two codes based on
- linear OA(946, 50, F9, 40) (dual of [50, 4, 41]-code), using
- 5 times truncation [i] based on linear OA(951, 55, F9, 45) (dual of [55, 4, 46]-code), using
- 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(3192, 200, F3, 121) (dual of [200, 8, 122]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3192, 200, F3, 120) (dual of [200, 8, 121]-code) | [i] | ||
| 3 | Linear OA(3191, 199, F3, 121) (dual of [199, 8, 122]-code) | [i] | Truncation | |
| 4 | Linear OA(3190, 198, F3, 120) (dual of [198, 8, 121]-code) | [i] | ||
| 5 | Linear OOA(3192, 100, F3, 2, 122) (dual of [(100, 2), 8, 123]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(3192, 40, F3, 5, 122) (dual of [(40, 5), 8, 123]-NRT-code) | [i] | ||