Information on Result #708811

Linear OA(4188, 1080, F4, 46) (dual of [1080, 892, 47]-code), using construction XX applied to C1 = C([309,349]), C2 = C([304,343]), C3 = C1 + C2 = C([309,343]), and C∩ = C1 ∩ C2 = C([304,349]) based on
  1. linear OA(4151, 1023, F4, 41) (dual of [1023, 872, 42]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {309,310,…,349}, and designed minimum distance d ≥ |I|+1 = 42 [i]
  2. linear OA(4151, 1023, F4, 40) (dual of [1023, 872, 41]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {304,305,…,343}, and designed minimum distance d ≥ |I|+1 = 41 [i]
  3. linear OA(4171, 1023, F4, 46) (dual of [1023, 852, 47]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {304,305,…,349}, and designed minimum distance d ≥ |I|+1 = 47 [i]
  4. 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 = {309,310,…,343}, and designed minimum distance d ≥ |I|+1 = 36 [i]
  5. linear OA(410, 30, F4, 5) (dual of [30, 20, 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(4189, 1081, F4, 46) (dual of [1081, 892, 47]-code) [i]Code Embedding in Larger Space
2Linear OOA(4188, 540, F4, 2, 46) (dual of [(540, 2), 892, 47]-NRT-code) [i]OOA Folding