Information on Result #678798

Linear OA(4207, 65621, F4, 31) (dual of [65621, 65414, 32]-code), using construction X applied to Ce(30) ⊂ Ce(20) based on
  1. linear OA(4185, 65536, F4, 31) (dual of [65536, 65351, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
  2. linear OA(4121, 65536, F4, 21) (dual of [65536, 65415, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
  3. linear OA(422, 85, F4, 9) (dual of [85, 63, 10]-code), using
    • the BCH-code C(I) with length 85 | 44−1, defining interval I = {−20,−17,−14,…,4}, and designed minimum distance d ≥ |I|+1 = 10 [i]

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(4207, 32810, F4, 2, 31) (dual of [(32810, 2), 65413, 32]-NRT-code) [i]OOA Folding
2Linear OOA(4207, 21873, F4, 3, 31) (dual of [(21873, 3), 65412, 32]-NRT-code) [i]