Information on Result #612264
Linear OA(3136, 164, F3, 40) (dual of [164, 28, 41]-code), using the narrow-sense BCH-code C(I) with length 164 | 38−1, defining interval I = [1,34], and minimum distance d ≥ |{1,2,…,29}| + |{0,47,94,…,29}∖{−70,−23,24,71,−46,−69,−22,25,72,−45,−68,−21,26,73,−44,−67,−20,27,74,−43,−66,−19,28,75,−42,−65,−18,29}| = 41 (general Roos-bound)
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(3138, 166, F3, 42) (dual of [166, 28, 43]-code) | [i] | ✔ | Construction X with Cyclic Codes |