Information on Result #708312

Linear OA(4148, 1081, F4, 35) (dual of [1081, 933, 36]-code), using construction XX applied to C1 = C([1018,24]), C2 = C([1,29]), C3 = C1 + C2 = C([1,24]), and C∩ = C1 ∩ C2 = C([1018,29]) based on
  1. linear OA(4111, 1023, F4, 30) (dual of [1023, 912, 31]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−5,−4,…,24}, and designed minimum distance d ≥ |I|+1 = 31 [i]
  2. linear OA(4110, 1023, F4, 29) (dual of [1023, 913, 30]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
  3. linear OA(4131, 1023, F4, 35) (dual of [1023, 892, 36]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−5,−4,…,29}, and designed minimum distance d ≥ |I|+1 = 36 [i]
  4. linear OA(490, 1023, F4, 24) (dual of [1023, 933, 25]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [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(4149, 1082, F4, 35) (dual of [1082, 933, 36]-code) [i]Code Embedding in Larger Space