Information on Result #681642
Linear OA(4131, 286, F4, 43) (dual of [286, 155, 44]-code), using construction X applied to Ce(42) ⊂ Ce(36) based on
- linear OA(4121, 256, F4, 43) (dual of [256, 135, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [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(410, 30, F4, 5) (dual of [30, 20, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(410, 63, F4, 5) (dual of [63, 53, 6]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 6 [i]
- discarding factors / shortening the dual code based on linear OA(410, 63, F4, 5) (dual of [63, 53, 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.