Information on Result #681737
Linear OA(4128, 286, F4, 42) (dual of [286, 158, 43]-code), using construction XX applied to Ce(41) ⊂ Ce(36) ⊂ Ce(34) based on
- linear OA(4117, 256, F4, 42) (dual of [256, 139, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(4101, 256, F4, 37) (dual of [256, 155, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(497, 256, F4, 35) (dual of [256, 159, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(47, 26, F4, 4) (dual of [26, 19, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- linear OA(41, 4, F4, 1) (dual of [4, 3, 2]-code), using
- Reed–Solomon code RS(3,4) [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.