Information on Result #708737

Linear OA(4159, 1041, F4, 42) (dual of [1041, 882, 43]-code), using construction XX applied to C1 = C([301,341]), C2 = C([304,342]), C3 = C1 + C2 = C([304,341]), and C∩ = C1 ∩ C2 = C([301,342]) 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 = {301,302,…,341}, and designed minimum distance d ≥ |I|+1 = 42 [i]
  2. linear OA(4146, 1023, F4, 39) (dual of [1023, 877, 40]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {304,305,…,342}, and designed minimum distance d ≥ |I|+1 = 40 [i]
  3. linear OA(4156, 1023, F4, 42) (dual of [1023, 867, 43]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {301,302,…,342}, and designed minimum distance d ≥ |I|+1 = 43 [i]
  4. 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 = {304,305,…,341}, and designed minimum distance d ≥ |I|+1 = 39 [i]
  5. linear OA(43, 13, F4, 2) (dual of [13, 10, 3]-code), using
  6. linear OA(40, 5, F4, 0) (dual of [5, 5, 1]-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 OOA(4159, 520, F4, 2, 42) (dual of [(520, 2), 881, 43]-NRT-code) [i]OOA Folding
2Linear OOA(4159, 347, F4, 3, 42) (dual of [(347, 3), 882, 43]-NRT-code) [i]