Information on Result #1321257
Linear OA(3129, 170, F3, 56) (dual of [170, 41, 57]-code), using construction X with Varšamov bound based on
- linear OA(3125, 164, F3, 56) (dual of [164, 39, 57]-code), using
- a “GraX†code from Grassl’s database [i]
- linear OA(3125, 166, F3, 53) (dual of [166, 41, 54]-code), using Gilbert–Varšamov bound and bm = 3125 > Vbs−1(k−1) = 175422 037112 556150 813347 307103 202139 373001 667482 984850 530931 [i]
- 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: 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(3130, 172, F3, 56) (dual of [172, 42, 57]-code) | [i] | Construction X with Varšamov Bound | |