Information on Result #738069
Linear OA(3116, 124, F3, 74) (dual of [124, 8, 75]-code), using concatenation of two codes based on
- linear OA(927, 31, F9, 24) (dual of [31, 4, 25]-code), using
- 1 times truncation [i] based on linear OA(928, 32, F9, 25) (dual of [32, 4, 26]-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(3116, 124, F3, 73) (dual of [124, 8, 74]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3115, 123, F3, 73) (dual of [123, 8, 74]-code) | [i] | Truncation | |
| 3 | Linear OA(3114, 122, F3, 72) (dual of [122, 8, 73]-code) | [i] | ||
| 4 | Linear OOA(3116, 62, F3, 2, 74) (dual of [(62, 2), 8, 75]-NRT-code) | [i] | OOA Folding | |