Information on Result #680555

Linear OA(449, 1037, F4, 13) (dual of [1037, 988, 14]-code), using construction X applied to Ce(12) ⊂ Ce(9) based on
  1. linear OA(446, 1024, F4, 13) (dual of [1024, 978, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
  2. linear OA(436, 1024, F4, 10) (dual of [1024, 988, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
  3. linear OA(43, 13, F4, 2) (dual of [13, 10, 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(449, 686, F4, 2, 13) (dual of [(686, 2), 1323, 14]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(449, 686, F4, 3, 13) (dual of [(686, 3), 2009, 14]-NRT-code) [i]
3Digital (36, 49, 686)-net over F4 [i]
4Linear OOA(449, 518, F4, 2, 13) (dual of [(518, 2), 987, 14]-NRT-code) [i]OOA Folding