Information on Result #679193

Linear OA(4179, 16429, F4, 32) (dual of [16429, 16250, 33]-code), using construction X applied to Ce(32) ⊂ Ce(25) based on
  1. linear OA(4169, 16384, F4, 33) (dual of [16384, 16215, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
  2. linear OA(4134, 16384, F4, 26) (dual of [16384, 16250, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
  3. linear OA(410, 45, F4, 5) (dual of [45, 35, 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 OA(4180, 16430, F4, 32) (dual of [16430, 16250, 33]-code) [i]Code Embedding in Larger Space
2Linear OOA(4179, 14969, F4, 2, 32) (dual of [(14969, 2), 29759, 33]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(4179, 14969, F4, 3, 32) (dual of [(14969, 3), 44728, 33]-NRT-code) [i]
4Digital (147, 179, 14969)-net over F4 [i]
5Linear OA(4181, 16432, F4, 32) (dual of [16432, 16251, 33]-code) [i]Construction X with VarÅ¡amov Bound
6Linear OOA(4179, 8214, F4, 2, 32) (dual of [(8214, 2), 16249, 33]-NRT-code) [i]OOA Folding
7Linear OOA(4179, 5476, F4, 3, 32) (dual of [(5476, 3), 16249, 33]-NRT-code) [i]