Information on Result #616319
Linear OA(1628, 37, F16, 16) (dual of [37, 9, 17]-code), using construction X applied to C([0,14]) ⊂ C([1,14]) based on
- linear OA(1627, 35, F16, 16) (dual of [35, 8, 17]-code), using the expurgated narrow-sense BCH-code C(I) with length 35 | 163−1, defining interval I = [0,14], and minimum distance d ≥ |{−8,−6,−4,…,22}|+1 = 17 (BCH-bound) [i]
- linear OA(1626, 35, F16, 14) (dual of [35, 9, 15]-code), using the narrow-sense BCH-code C(I) with length 35 | 163−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(161, 2, F16, 1) (dual of [2, 1, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(161, s, F16, 1) (dual of [s, s−1, 2]-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.
Other Results with Identical Parameters
None.
Depending Results
None.