Information on Result #2225944
Linear OA(2251, 272, F2, 112) (dual of [272, 21, 113]-code), using 4 times truncation based on linear OA(2255, 276, F2, 116) (dual of [276, 21, 117]-code), using
- strength reduction [i] based on linear OA(2255, 276, F2, 119) (dual of [276, 21, 120]-code), using
- construction X applied to Ce(118) ⊂ Ce(110) [i] based on
- linear OA(2243, 256, F2, 119) (dual of [256, 13, 120]-code), using an extension Ce(118) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,118], and designed minimum distance d ≥ |I|+1 = 119 [i]
- linear OA(2235, 256, F2, 111) (dual of [256, 21, 112]-code), using an extension Ce(110) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,110], and designed minimum distance d ≥ |I|+1 = 111 [i]
- linear OA(212, 20, F2, 7) (dual of [20, 8, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(212, 24, F2, 7) (dual of [24, 12, 8]-code), using
- extended Golay code Ge(2) [i]
- discarding factors / shortening the dual code based on linear OA(212, 24, F2, 7) (dual of [24, 12, 8]-code), using
- construction X applied to Ce(118) ⊂ Ce(110) [i] based on
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.