Information on Result #616267
Linear OA(1655, 1048582, F16, 11) (dual of [1048582, 1048527, 12]-code), using construction X applied to C([0,5]) ⊂ C([1,5]) based on
- linear OA(1651, 1048577, F16, 11) (dual of [1048577, 1048526, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 1610−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(1650, 1048577, F16, 6) (dual of [1048577, 1048527, 7]-code), using the narrow-sense BCH-code C(I) with length 1048577 | 1610−1, defining interval I = [1,5], and minimum distance d ≥ |{−5,−3,−1,…,5}|+1 = 7 (BCH-bound) [i]
- linear OA(164, 5, F16, 4) (dual of [5, 1, 5]-code or 5-arc in PG(3,16)), using
- dual of repetition code with length 5 [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.
Other Results with Identical Parameters
None.
Depending Results
None.