Information on Result #737225

Linear OA(4214, 65608, F4, 33) (dual of [65608, 65394, 34]-code), using construction X applied to Ce(32) ⊂ Ce(22) based on
  1. linear OA(4193, 65536, F4, 33) (dual of [65536, 65343, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
  2. linear OA(4137, 65536, F4, 23) (dual of [65536, 65399, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
  3. linear OA(421, 72, F4, 9) (dual of [72, 51, 10]-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, 32804, F4, 2, 33) (dual of [(32804, 2), 65394, 34]-NRT-code) [i]OOA Folding
2Linear OOA(4214, 21869, F4, 3, 33) (dual of [(21869, 3), 65393, 34]-NRT-code) [i]