Information on Result #673732
Linear OA(2122, 293, F2, 29) (dual of [293, 171, 30]-code), using construction X applied to Ce(28) ⊂ Ce(22) based on
- linear OA(2109, 256, F2, 29) (dual of [256, 147, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(285, 256, F2, 23) (dual of [256, 171, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(213, 37, F2, 5) (dual of [37, 24, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(213, 63, F2, 5) (dual of [63, 50, 6]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 6 [i]
- discarding factors / shortening the dual code based on linear OA(213, 63, F2, 5) (dual of [63, 50, 6]-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.
Other Results with Identical Parameters
None.
Depending Results
None.