Information on Result #679695

Linear OA(4167, 4113, F4, 37) (dual of [4113, 3946, 38]-code), using construction X applied to Ce(36) ⊂ Ce(32) based on
  1. linear OA(4163, 4096, F4, 37) (dual of [4096, 3933, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
  2. linear OA(4145, 4096, F4, 33) (dual of [4096, 3951, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
  3. linear OA(44, 17, F4, 3) (dual of [17, 13, 4]-code or 17-cap in PG(3,4)), 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(4167, 3296, F4, 2, 37) (dual of [(3296, 2), 6425, 38]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(4167, 3296, F4, 3, 37) (dual of [(3296, 3), 9721, 38]-NRT-code) [i]
3Digital (130, 167, 3296)-net over F4 [i]
4Linear OOA(4167, 2056, F4, 2, 37) (dual of [(2056, 2), 3945, 38]-NRT-code) [i]OOA Folding
5Linear OOA(4167, 1371, F4, 3, 37) (dual of [(1371, 3), 3946, 38]-NRT-code) [i]