Information on Result #949075
Linear OOA(2182, 99, F2, 3, 51) (dual of [(99, 3), 115, 52]-NRT-code), using OOA 3-folding based on linear OA(2182, 297, F2, 51) (dual of [297, 115, 52]-code), using
- construction X applied to Ce(50) ⊂ Ce(42) [i] 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(217, 41, F2, 7) (dual of [41, 24, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(217, 43, F2, 7) (dual of [43, 26, 8]-code), using
- adding a parity check bit [i] based on linear OA(216, 42, F2, 6) (dual of [42, 26, 7]-code), using
- extracting embedded orthogonal array [i] based on digital (10, 16, 42)-net over F2, using
- adding a parity check bit [i] based on linear OA(216, 42, F2, 6) (dual of [42, 26, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(217, 43, F2, 7) (dual of [43, 26, 8]-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.