Information on Result #1323485

Linear OA(4175, 4194355, F4, 21) (dual of [4194355, 4194180, 22]-code), using construction X applied to Ce(20) ⊂ Ce(14) based on
  1. linear OA(4166, 4194304, F4, 21) (dual of [4194304, 4194138, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
  2. linear OA(4122, 4194304, F4, 15) (dual of [4194304, 4194182, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
  3. linear OA(49, 51, F4, 5) (dual of [51, 42, 6]-code), using

Mode: 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(4175, 2097177, F4, 2, 21) (dual of [(2097177, 2), 4194179, 22]-NRT-code) [i]OOA Folding
2Linear OOA(4175, 1398118, F4, 3, 21) (dual of [(1398118, 3), 4194179, 22]-NRT-code) [i]
3Linear OOA(4175, 419435, F4, 21, 21) (dual of [(419435, 21), 8807960, 22]-NRT-code) [i]OOA Folding and Stacking with Additional Row