Information on Result #673714
Linear OA(2176, 289, F2, 49) (dual of [289, 113, 50]-code), using construction X applied to Ce(50) ⊂ Ce(42) based on
- linear OA(2165, 256, F2, 51) (dual of [256, 91, 52]-code), using an extension Ce(50) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(2141, 256, F2, 43) (dual of [256, 115, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(211, 33, F2, 5) (dual of [33, 22, 6]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 33 | 210−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [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.
Other Results with Identical Parameters
None.
Depending Results
None.