Information on Result #738079
Linear OA(3164, 172, F3, 104) (dual of [172, 8, 105]-code), using concatenation of two codes based on
- linear OA(939, 43, F9, 34) (dual of [43, 4, 35]-code), using
- 2 times truncation [i] based on linear OA(941, 45, F9, 36) (dual of [45, 4, 37]-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(3163, 171, F3, 103) (dual of [171, 8, 104]-code) | [i] | Truncation | |
| 2 | Linear OA(3162, 170, F3, 102) (dual of [170, 8, 103]-code) | [i] | ||
| 3 | Linear OOA(3164, 86, F3, 2, 104) (dual of [(86, 2), 8, 105]-NRT-code) | [i] | OOA Folding | |