Information on Result #680943

Linear OA(4259, 1110, F4, 60) (dual of [1110, 851, 61]-code), using construction X applied to Ce(60) ⊂ Ce(45) based on
  1. linear OA(4226, 1024, F4, 61) (dual of [1024, 798, 62]-code), using an extension Ce(60) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,60], and designed minimum distance d ≥ |I|+1 = 61 [i]
  2. 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]
  3. linear OA(433, 86, F4, 13) (dual of [86, 53, 14]-code), using
    • an extension Ce(12) of the narrow-sense BCH-code C(I) with length 85 | 44−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(4259, 555, F4, 2, 60) (dual of [(555, 2), 851, 61]-NRT-code) [i]OOA Folding