Information on Result #738086
Linear OA(3184, 192, F3, 116) (dual of [192, 8, 117]-code), using concatenation of two codes based on
- linear OA(944, 48, F9, 38) (dual of [48, 4, 39]-code), using
- 7 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(3184, 192, F3, 115) (dual of [192, 8, 116]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3183, 191, F3, 115) (dual of [191, 8, 116]-code) | [i] | Truncation | |
| 3 | Linear OA(3182, 190, F3, 114) (dual of [190, 8, 115]-code) | [i] | ||
| 4 | Linear OOA(3184, 96, F3, 2, 116) (dual of [(96, 2), 8, 117]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(3184, 64, F3, 3, 116) (dual of [(64, 3), 8, 117]-NRT-code) | [i] | ||