Information on Result #708843

Linear OA(4193, 1081, F4, 47) (dual of [1081, 888, 48]-code), using construction XX applied to C1 = C([1018,36]), C2 = C([1,41]), C3 = C1 + C2 = C([1,36]), and C∩ = C1 ∩ C2 = C([1018,41]) based on
  1. linear OA(4156, 1023, F4, 42) (dual of [1023, 867, 43]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−5,−4,…,36}, and designed minimum distance d ≥ |I|+1 = 43 [i]
  2. linear OA(4155, 1023, F4, 41) (dual of [1023, 868, 42]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
  3. linear OA(4176, 1023, F4, 47) (dual of [1023, 847, 48]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−5,−4,…,41}, and designed minimum distance d ≥ |I|+1 = 48 [i]
  4. linear OA(4135, 1023, F4, 36) (dual of [1023, 888, 37]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
  5. linear OA(410, 31, F4, 5) (dual of [31, 21, 6]-code), using
  6. linear OA(47, 27, F4, 4) (dual of [27, 20, 5]-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

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(4194, 1082, F4, 47) (dual of [1082, 888, 48]-code) [i]Code Embedding in Larger Space