Information on Result #1323749

Linear OA(4256, 16447, F4, 46) (dual of [16447, 16191, 47]-code), using construction X applied to Ce(45) ⊂ Ce(36) based on
  1. linear OA(4239, 16384, F4, 46) (dual of [16384, 16145, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
  2. linear OA(4190, 16384, F4, 37) (dual of [16384, 16194, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
  3. linear OA(417, 63, F4, 8) (dual of [63, 46, 9]-code), using

Mode: 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(4256, 16447, F4, 2, 46) (dual of [(16447, 2), 32638, 47]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(4256, 16447, F4, 3, 46) (dual of [(16447, 3), 49085, 47]-NRT-code) [i]
3Digital (210, 256, 16447)-net over F4 [i]
4Linear OOA(4256, 8223, F4, 2, 46) (dual of [(8223, 2), 16190, 47]-NRT-code) [i]OOA Folding