Information on Result #680068

Linear OA(4214, 1387, F4, 48) (dual of [1387, 1173, 49]-code), using construction X applied to Ce(48) ⊂ Ce(44) based on
  1. linear OA(4211, 1366, F4, 49) (dual of [1366, 1155, 50]-code), using an extension Ce(48) of the narrow-sense BCH-code C(I) with length 1365 | 46−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49 [i]
  2. linear OA(4193, 1366, F4, 45) (dual of [1366, 1173, 46]-code), using an extension Ce(44) of the narrow-sense BCH-code C(I) with length 1365 | 46−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
  3. linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-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 OOA(4214, 693, F4, 2, 48) (dual of [(693, 2), 1172, 49]-NRT-code) [i]OOA Folding