Information on Result #612110
Linear OA(372, 77, F3, 32) (dual of [77, 5, 33]-code), using the expurgated narrow-sense BCH-code C(I) with length 77 | 330−1, defining interval I = [0,13], and minimum distance d ≥ |{1,4,7,…,40}| + |{−30,−29,…,0}∖{−2,−5,−8,−11,−14,−17,−20,−22,−23,−25,−26,−28,−29}| = 33 (general Roos-bound) and all weights a multiple of 3 because the code is contained in its dual
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(376, 82, F3, 32) (dual of [82, 6, 33]-code) | [i] | ✔ | Construction X with Cyclic Codes |