Information on Result #709250

Linear OA(4231, 1088, F4, 56) (dual of [1088, 857, 57]-code), using construction XX applied to C1 = C([342,391]), C2 = C([336,385]), C3 = C1 + C2 = C([342,385]), and C∩ = C1 ∩ C2 = C([336,391]) based on
  1. linear OA(4190, 1023, F4, 50) (dual of [1023, 833, 51]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {342,343,…,391}, and designed minimum distance d ≥ |I|+1 = 51 [i]
  2. linear OA(4186, 1023, F4, 50) (dual of [1023, 837, 51]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {336,337,…,385}, and designed minimum distance d ≥ |I|+1 = 51 [i]
  3. linear OA(4211, 1023, F4, 56) (dual of [1023, 812, 57]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {336,337,…,391}, and designed minimum distance d ≥ |I|+1 = 57 [i]
  4. linear OA(4165, 1023, F4, 44) (dual of [1023, 858, 45]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {342,343,…,385}, and designed minimum distance d ≥ |I|+1 = 45 [i]
  5. linear OA(410, 34, F4, 5) (dual of [34, 24, 6]-code), using
  6. linear OA(410, 31, F4, 5) (dual of [31, 21, 6]-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(4232, 1089, F4, 56) (dual of [1089, 857, 57]-code) [i]Code Embedding in Larger Space
2Linear OOA(4231, 544, F4, 2, 56) (dual of [(544, 2), 857, 57]-NRT-code) [i]OOA Folding