Information on Result #674094
Linear OA(2123, 165, F2, 43) (dual of [165, 42, 44]-code), using construction X applied to C([0,42]) ⊂ C([0,28]) based on
- linear OA(299, 127, F2, 43) (dual of [127, 28, 44]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [0,42], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(285, 127, F2, 31) (dual of [127, 42, 32]-code), using the expurgated primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,28], and minimum distance d ≥ 32 (sporadic result) and all weights a multiple of 2 because the code is contained in its dual [i]
- linear OA(224, 38, F2, 11) (dual of [38, 14, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(224, 48, F2, 11) (dual of [48, 24, 12]-code), using
- extended quadratic residue code Qe(48,2) [i]
- discarding factors / shortening the dual code based on linear OA(224, 48, F2, 11) (dual of [48, 24, 12]-code), 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.