Information on Result #611416
Linear OA(2140, 156, F2, 45) (dual of [156, 16, 46]-code), using construction X applied to C([0,36]) ⊂ C([1,36]) based on
- linear OA(2136, 151, F2, 45) (dual of [151, 15, 46]-code), using the expurgated narrow-sense BCH-code C(I) with length 151 | 215−1, defining interval I = [0,36], and minimum distance d ≥ |{−19,−14,−9,…,50}|+1 = 46 (BCH-bound) [i]
- linear OA(2135, 151, F2, 40) (dual of [151, 16, 41]-code), using the narrow-sense BCH-code C(I) with length 151 | 215−1, defining interval I = [1,36], and minimum distance d ≥ |{1,12,23,…,26}| + |{8,62,116,…,0}∖{43,32,21,10,−1,−12,−23,−34,−45,−56,−13,−67,−24,73,−35,62}| = 41 (general Roos-bound) [i]
- linear OA(24, 5, F2, 4) (dual of [5, 1, 5]-code or 5-arc in PG(3,2)), 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.