Information on Result #737370

Linear OA(4223, 4170, F4, 44) (dual of [4170, 3947, 45]-code), using construction X applied to Ce(44) ⊂ Ce(32) based on
  1. linear OA(4199, 4096, F4, 45) (dual of [4096, 3897, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [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(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(4224, 4171, F4, 44) (dual of [4171, 3947, 45]-code) [i]Code Embedding in Larger Space
2Linear OOA(4223, 2085, F4, 2, 44) (dual of [(2085, 2), 3947, 45]-NRT-code) [i]OOA Folding
3Linear OOA(4223, 1390, F4, 3, 44) (dual of [(1390, 3), 3947, 45]-NRT-code) [i]