Information on Result #611363
Linear OA(2109, 140, F2, 37) (dual of [140, 31, 38]-code), using construction X applied to C([0,18]) ⊂ C([1,18]) based on
- linear OA(299, 129, F2, 37) (dual of [129, 30, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 129 | 214−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
- linear OA(298, 129, F2, 26) (dual of [129, 31, 27]-code), using the narrow-sense BCH-code C(I) with length 129 | 214−1, defining interval I = [1,18], and minimum distance d ≥ |{−60,−28,4,…,1}| + |{0,23,46,…,59}∖{23,−60,−14,9,55,−28,18,41,−42,4,50,−56,−10,36}| = 27 (general Roos-bound) [i]
- linear OA(210, 11, F2, 10) (dual of [11, 1, 11]-code or 11-arc in PG(9,2)), using
- dual of repetition code with length 11 [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.