Information on Result #681576

Linear OA(441, 272, F4, 13) (dual of [272, 231, 14]-code), using construction X applied to Ce(12) ⊂ Ce(8) based on
  1. linear OA(437, 256, F4, 13) (dual of [256, 219, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
  2. linear OA(425, 256, F4, 9) (dual of [256, 231, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [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 OA(440, 271, F4, 12) (dual of [271, 231, 13]-code) [i]Truncation
2Linear OOA(441, 136, F4, 2, 13) (dual of [(136, 2), 231, 14]-NRT-code) [i]OOA Folding