Information on Result #680048

Linear OA(4203, 1382, F4, 46) (dual of [1382, 1179, 47]-code), using construction X applied to Ce(45) ⊂ Ce(41) based on
  1. linear OA(4199, 1366, F4, 46) (dual of [1366, 1167, 47]-code), using an extension Ce(45) of the narrow-sense BCH-code C(I) with length 1365 | 46−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
  2. linear OA(4187, 1366, F4, 42) (dual of [1366, 1179, 43]-code), using an extension Ce(41) of the narrow-sense BCH-code C(I) with length 1365 | 46−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
  3. linear OA(44, 16, F4, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,4)), 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(4203, 691, F4, 2, 46) (dual of [(691, 2), 1179, 47]-NRT-code) [i]OOA Folding