Information on Result #737371

Linear OA(4205, 4170, F4, 40) (dual of [4170, 3965, 41]-code), using construction X applied to Ce(40) ⊂ Ce(28) based on
  1. linear OA(4181, 4096, F4, 41) (dual of [4096, 3915, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
  2. linear OA(4127, 4096, F4, 29) (dual of [4096, 3969, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
  3. linear OA(424, 74, F4, 10) (dual of [74, 50, 11]-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 OA(4206, 4171, F4, 40) (dual of [4171, 3965, 41]-code) [i]Code Embedding in Larger Space
2Linear OOA(4205, 2085, F4, 2, 40) (dual of [(2085, 2), 3965, 41]-NRT-code) [i]OOA Folding
3Linear OOA(4205, 1390, F4, 3, 40) (dual of [(1390, 3), 3965, 41]-NRT-code) [i]