Information on Result #707530

Linear OA(444, 1041, F4, 11) (dual of [1041, 997, 12]-code), using construction XX applied to C1 = C([332,341]), C2 = C([335,342]), C3 = C1 + C2 = C([335,341]), and C∩ = C1 ∩ C2 = C([332,342]) based on
  1. linear OA(436, 1023, F4, 10) (dual of [1023, 987, 11]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {332,333,…,341}, and designed minimum distance d ≥ |I|+1 = 11 [i]
  2. linear OA(431, 1023, F4, 8) (dual of [1023, 992, 9]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {335,336,…,342}, and designed minimum distance d ≥ |I|+1 = 9 [i]
  3. linear OA(441, 1023, F4, 11) (dual of [1023, 982, 12]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {332,333,…,342}, and designed minimum distance d ≥ |I|+1 = 12 [i]
  4. linear OA(426, 1023, F4, 7) (dual of [1023, 997, 8]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {335,336,…,341}, and designed minimum distance d ≥ |I|+1 = 8 [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(444, 1034, F4, 2, 11) (dual of [(1034, 2), 2024, 12]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(444, 1034, F4, 3, 11) (dual of [(1034, 3), 3058, 12]-NRT-code) [i]
3Digital (33, 44, 1034)-net over F4 [i]