Information on Result #680848
Linear OA(4224, 1077, F4, 55) (dual of [1077, 853, 56]-code), using construction X applied to Ce(54) ⊂ Ce(45) based on
- linear OA(4206, 1024, F4, 55) (dual of [1024, 818, 56]-code), using an extension Ce(54) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,54], and designed minimum distance d ≥ |I|+1 = 55 [i]
- linear OA(4171, 1024, F4, 46) (dual of [1024, 853, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(418, 53, F4, 8) (dual of [53, 35, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(418, 63, F4, 8) (dual of [63, 45, 9]-code), using
- the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(418, 63, F4, 8) (dual of [63, 45, 9]-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.