Information on Result #681641
Linear OA(4135, 286, F4, 44) (dual of [286, 151, 45]-code), using construction X applied to Ce(44) ⊂ Ce(37) based on
- linear OA(4125, 256, F4, 45) (dual of [256, 131, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(4105, 256, F4, 38) (dual of [256, 151, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [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.