Information on Result #688428
Linear OA(8166, 563, F8, 56) (dual of [563, 397, 57]-code), using construction X applied to Ce(56) ⊂ Ce(43) based on
- linear OA(8148, 512, F8, 57) (dual of [512, 364, 58]-code), using an extension Ce(56) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,56], and designed minimum distance d ≥ |I|+1 = 57 [i]
- linear OA(8115, 512, F8, 44) (dual of [512, 397, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(818, 51, F8, 11) (dual of [51, 33, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(818, 63, F8, 11) (dual of [63, 45, 12]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [i]
- discarding factors / shortening the dual code based on linear OA(818, 63, F8, 11) (dual of [63, 45, 12]-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.