Information on Result #664596
Linear OA(1660, 1048589, F16, 11) (dual of [1048589, 1048529, 12]-code), using generalized (u, u+v)-construction based on
- linear OA(162, 4, F16, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,16)), using
- discarding factors / shortening the dual code based on linear OA(162, 16, F16, 2) (dual of [16, 14, 3]-code or 16-arc in PG(1,16)), using
- Reed–Solomon code RS(14,16) [i]
- discarding factors / shortening the dual code based on linear OA(162, 16, F16, 2) (dual of [16, 14, 3]-code or 16-arc in PG(1,16)), using
- linear OA(163, 4, F16, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,16) or 4-cap in PG(2,16)), using
- dual of repetition code with length 4 [i]
- linear OA(164, 4, F16, 4) (dual of [4, 0, 5]-code or 4-arc in PG(3,16)), using
- 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]
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.