Information on Result #737436

Linear OA(4108, 273, F4, 37) (dual of [273, 165, 38]-code), using construction X applied to Ce(36) ⊂ Ce(30) based on
  1. linear OA(4101, 256, F4, 37) (dual of [256, 155, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
  2. linear OA(491, 256, F4, 31) (dual of [256, 165, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
  3. linear OA(47, 17, F4, 5) (dual of [17, 10, 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 OOA(4108, 91, F4, 3, 37) (dual of [(91, 3), 165, 38]-NRT-code) [i]OOA Folding