Information on Result #681540

Linear OA(4147, 273, F4, 53) (dual of [273, 126, 54]-code), using construction X applied to Ce(52) ⊂ Ce(45) based on
  1. linear OA(4139, 256, F4, 53) (dual of [256, 117, 54]-code), using an extension Ce(52) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53 [i]
  2. linear OA(4129, 256, F4, 46) (dual of [256, 127, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [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

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(4147, 136, F4, 2, 53) (dual of [(136, 2), 125, 54]-NRT-code) [i]OOA Folding
2Linear OOA(4147, 91, F4, 3, 53) (dual of [(91, 3), 126, 54]-NRT-code) [i]