Information on Result #701141
Linear OA(474, 89, F4, 43) (dual of [89, 15, 44]-code), using construction X applied to C({1,2,3,5,6,7,9,10,13,14,15,17,18,19,21,29,37,41,42}) ⊂ C({1,2,3,5,6,9,10,13,14,15,17,18,19,21,29,37,41,42}) based on
- linear OA(474, 85, F4, 43) (dual of [85, 11, 44]-code), using the cyclic code C(A) with length 85 | 44−1, defining set A = {1,2,3,5,6,7,9,10,13,14,15,17,18,19,21,29,37,41,42}, and minimum distance d ≥ |{−16,−9,−2,…,23}|+1 = 44 (BCH-bound) [i]
- linear OA(470, 85, F4, 42) (dual of [85, 15, 43]-code), using the cyclic code C(A) with length 85 | 44−1, defining set A = {1,2,3,5,6,9,10,13,14,15,17,18,19,21,29,37,41,42}, and minimum distance d ≥ |{−16,−9,−2,…,16}|+1 = 43 (BCH-bound) [i]
- linear OA(40, 4, F4, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
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(473, 88, F4, 42) (dual of [88, 15, 43]-code) | [i] | Truncation | |