Information on Result #616315
Linear OA(1677, 1048584, F16, 15) (dual of [1048584, 1048507, 16]-code), using construction X applied to C([0,7]) ⊂ C([1,7]) based on
- linear OA(1671, 1048577, F16, 15) (dual of [1048577, 1048506, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 1610−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(1670, 1048577, F16, 8) (dual of [1048577, 1048507, 9]-code), using the narrow-sense BCH-code C(I) with length 1048577 | 1610−1, defining interval I = [1,7], and minimum distance d ≥ |{−7,−5,−3,…,7}|+1 = 9 (BCH-bound) [i]
- linear OA(166, 7, F16, 6) (dual of [7, 1, 7]-code or 7-arc in PG(5,16)), using
- dual of repetition code with length 7 [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.