Information on Result #631229
Linear OA(3140, 164, F3, 65) (dual of [164, 24, 66]-code), using concatenation of two codes based on
- linear OA(929, 41, F9, 21) (dual of [41, 12, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 41 | 94−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [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: 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(3140, 164, F3, 64) (dual of [164, 24, 65]-code) | [i] | Strength Reduction | |