Information on Result #681539

Linear OA(4151, 273, F4, 54) (dual of [273, 122, 55]-code), using construction X applied to Ce(53) ⊂ Ce(46) based on
  1. linear OA(4143, 256, F4, 54) (dual of [256, 113, 55]-code), using an extension Ce(53) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,53], and designed minimum distance d ≥ |I|+1 = 54 [i]
  2. linear OA(4133, 256, F4, 47) (dual of [256, 123, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
  3. linear OA(48, 17, F4, 6) (dual of [17, 9, 7]-code), using
    • the BCH-code C(I) with length 17 | 44−1, defining interval I = {1,4,7,…,16}, and designed minimum distance d ≥ |I|+1 = 7 [i]

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.