Information on Result #708386

Linear OA(4161, 1086, F4, 38) (dual of [1086, 925, 39]-code), using construction XX applied to C1 = C([317,349]), C2 = C([312,342]), C3 = C1 + C2 = C([317,342]), and C∩ = C1 ∩ C2 = C([312,349]) based on
  1. linear OA(4121, 1023, F4, 33) (dual of [1023, 902, 34]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {317,318,…,349}, and designed minimum distance d ≥ |I|+1 = 34 [i]
  2. linear OA(4116, 1023, F4, 31) (dual of [1023, 907, 32]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {312,313,…,342}, and designed minimum distance d ≥ |I|+1 = 32 [i]
  3. linear OA(4141, 1023, F4, 38) (dual of [1023, 882, 39]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {312,313,…,349}, and designed minimum distance d ≥ |I|+1 = 39 [i]
  4. linear OA(496, 1023, F4, 26) (dual of [1023, 927, 27]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {317,318,…,342}, and designed minimum distance d ≥ |I|+1 = 27 [i]
  5. linear OA(413, 36, F4, 6) (dual of [36, 23, 7]-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(4162, 1087, F4, 38) (dual of [1087, 925, 39]-code) [i]Code Embedding in Larger Space
2Linear OA(4163, 1088, F4, 38) (dual of [1088, 925, 39]-code) [i]
3Linear OOA(4161, 543, F4, 2, 38) (dual of [(543, 2), 925, 39]-NRT-code) [i]OOA Folding