Information on Result #678451

Linear OA(4146, 262190, F4, 21) (dual of [262190, 262044, 22]-code), using construction X applied to Ce(20) ⊂ Ce(14) based on
  1. linear OA(4136, 262144, F4, 21) (dual of [262144, 262008, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
  2. linear OA(4100, 262144, F4, 15) (dual of [262144, 262044, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
  3. linear OA(410, 46, F4, 5) (dual of [46, 36, 6]-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(4147, 262191, F4, 21) (dual of [262191, 262044, 22]-code) [i]Code Embedding in Larger Space
2Linear OA(4148, 262192, F4, 21) (dual of [262192, 262044, 22]-code) [i]
3Linear OA(4145, 262189, F4, 20) (dual of [262189, 262044, 21]-code) [i]Truncation
4Linear OOA(4146, 131095, F4, 2, 21) (dual of [(131095, 2), 262044, 22]-NRT-code) [i]OOA Folding
5Linear OOA(4146, 87396, F4, 3, 21) (dual of [(87396, 3), 262042, 22]-NRT-code) [i]
6Linear OOA(4146, 26218, F4, 21, 21) (dual of [(26218, 21), 550432, 22]-NRT-code) [i]OOA Folding and Stacking with Additional Row