Information on Result #680850
Linear OA(4215, 1078, F4, 53) (dual of [1078, 863, 54]-code), using construction X applied to Ce(52) ⊂ Ce(42) based on
- linear OA(4196, 1024, F4, 53) (dual of [1024, 828, 54]-code), using an extension Ce(52) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(4161, 1024, F4, 43) (dual of [1024, 863, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(419, 54, F4, 9) (dual of [54, 35, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(419, 63, F4, 9) (dual of [63, 44, 10]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 10 [i]
- discarding factors / shortening the dual code based on linear OA(419, 63, F4, 9) (dual of [63, 44, 10]-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.