Information on Result #707913

Linear OA(482, 1034, F4, 22) (dual of [1034, 952, 23]-code), using construction XX applied to C1 = C([321,341]), C2 = C([323,342]), C3 = C1 + C2 = C([323,341]), and C∩ = C1 ∩ C2 = C([321,342]) based on
  1. linear OA(476, 1023, F4, 21) (dual of [1023, 947, 22]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {321,322,…,341}, and designed minimum distance d ≥ |I|+1 = 22 [i]
  2. linear OA(476, 1023, F4, 20) (dual of [1023, 947, 21]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {323,324,…,342}, and designed minimum distance d ≥ |I|+1 = 21 [i]
  3. linear OA(481, 1023, F4, 22) (dual of [1023, 942, 23]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {321,322,…,342}, and designed minimum distance d ≥ |I|+1 = 23 [i]
  4. linear OA(471, 1023, F4, 19) (dual of [1023, 952, 20]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {323,324,…,341}, and designed minimum distance d ≥ |I|+1 = 20 [i]
  5. linear OA(41, 6, F4, 1) (dual of [6, 5, 2]-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(482, 745, F4, 2, 22) (dual of [(745, 2), 1408, 23]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(482, 745, F4, 3, 22) (dual of [(745, 3), 2153, 23]-NRT-code) [i]
3Digital (60, 82, 745)-net over F4 [i]
4Linear OOA(482, 517, F4, 2, 22) (dual of [(517, 2), 952, 23]-NRT-code) [i]OOA Folding
5Linear OOA(482, 344, F4, 3, 22) (dual of [(344, 3), 950, 23]-NRT-code) [i]