Information on Result #677997

Linear OA(4176, 4194358, F4, 21) (dual of [4194358, 4194182, 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(410, 54, F4, 5) (dual of [54, 44, 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(4177, 4194359, F4, 21) (dual of [4194359, 4194182, 22]-code) [i]Code Embedding in Larger Space
2Linear OA(4178, 4194360, F4, 21) (dual of [4194360, 4194182, 22]-code) [i]
3Linear OA(4175, 4194357, F4, 20) (dual of [4194357, 4194182, 21]-code) [i]Truncation
4Linear OOA(4176, 2097179, F4, 2, 21) (dual of [(2097179, 2), 4194182, 22]-NRT-code) [i]OOA Folding
5Linear OOA(4176, 1398119, F4, 3, 21) (dual of [(1398119, 3), 4194181, 22]-NRT-code) [i]
6Linear OOA(4176, 419435, F4, 21, 21) (dual of [(419435, 21), 8807959, 22]-NRT-code) [i]OOA Folding and Stacking with Additional Row