Information on Result #708368

Linear OA(4156, 1088, F4, 36) (dual of [1088, 932, 37]-code), using construction XX applied to C1 = C([342,371]), C2 = C([336,365]), C3 = C1 + C2 = C([342,365]), and C∩ = C1 ∩ C2 = C([336,371]) based on
  1. linear OA(4115, 1023, F4, 30) (dual of [1023, 908, 31]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {342,343,…,371}, and designed minimum distance d ≥ |I|+1 = 31 [i]
  2. 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 = {336,337,…,365}, and designed minimum distance d ≥ |I|+1 = 31 [i]
  3. linear OA(4136, 1023, F4, 36) (dual of [1023, 887, 37]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {336,337,…,371}, and designed minimum distance d ≥ |I|+1 = 37 [i]
  4. linear OA(490, 1023, F4, 24) (dual of [1023, 933, 25]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {342,343,…,365}, and designed minimum distance d ≥ |I|+1 = 25 [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(4157, 1089, F4, 36) (dual of [1089, 932, 37]-code) [i]Code Embedding in Larger Space
2Linear OOA(4156, 544, F4, 2, 36) (dual of [(544, 2), 932, 37]-NRT-code) [i]OOA Folding