Information on Result #611428
Linear OA(2159, 180, F2, 49) (dual of [180, 21, 50]-code), using construction X applied to C([0,24]) ⊂ C([1,24]) based on
- linear OA(2151, 171, F2, 49) (dual of [171, 20, 50]-code), using the expurgated narrow-sense BCH-code C(I) with length 171 | 218−1, defining interval I = [0,24], and minimum distance d ≥ |{−24,−23,…,24}|+1 = 50 (BCH-bound) [i]
- linear OA(2150, 171, F2, 40) (dual of [171, 21, 41]-code), using the narrow-sense BCH-code C(I) with length 171 | 218−1, defining interval I = [1,24], and minimum distance d ≥ |{7,65,123,…,13}| + |{0,65,130,…,−30}∖{48,−10,−68,45,−78,−13}| = 41 (general Roos-bound) [i]
- linear OA(28, 9, F2, 8) (dual of [9, 1, 9]-code or 9-arc in PG(7,2)), using
- dual of repetition code with length 9 [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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.