Information on Result #707760

Linear OA(467, 1034, F4, 18) (dual of [1034, 967, 19]-code), using construction XX applied to C1 = C([325,341]), C2 = C([327,342]), C3 = C1 + C2 = C([327,341]), and C∩ = C1 ∩ C2 = C([325,342]) based on
  1. linear OA(461, 1023, F4, 17) (dual of [1023, 962, 18]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {325,326,…,341}, and designed minimum distance d ≥ |I|+1 = 18 [i]
  2. linear OA(461, 1023, F4, 16) (dual of [1023, 962, 17]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {327,328,…,342}, and designed minimum distance d ≥ |I|+1 = 17 [i]
  3. linear OA(466, 1023, F4, 18) (dual of [1023, 957, 19]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {325,326,…,342}, and designed minimum distance d ≥ |I|+1 = 19 [i]
  4. linear OA(456, 1023, F4, 15) (dual of [1023, 967, 16]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {327,328,…,341}, and designed minimum distance d ≥ |I|+1 = 16 [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(467, 678, F4, 2, 18) (dual of [(678, 2), 1289, 19]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(467, 678, F4, 3, 18) (dual of [(678, 3), 1967, 19]-NRT-code) [i]
3Digital (49, 67, 678)-net over F4 [i]
4Linear OOA(467, 517, F4, 2, 18) (dual of [(517, 2), 967, 19]-NRT-code) [i]OOA Folding
5Linear OOA(467, 344, F4, 3, 18) (dual of [(344, 3), 965, 19]-NRT-code) [i]