Information on Result #2194057
Linear OA(3166, 168, F3, 123) (dual of [168, 2, 124]-code), using strength reduction based on linear OA(3166, 168, F3, 125) (dual of [168, 2, 126]-code), using
- repeating each code word 42 times [i] 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 OOA(3166, 56, F3, 3, 123) (dual of [(56, 3), 2, 124]-NRT-code) | [i] | OOA Folding | |