Information on Result #678472

Linear OA(4173, 262199, F4, 24) (dual of [262199, 262026, 25]-code), using construction X applied to Ce(24) ⊂ Ce(17) based on
  1. linear OA(4163, 262144, F4, 25) (dual of [262144, 261981, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
  2. linear OA(4118, 262144, F4, 18) (dual of [262144, 262026, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
  3. linear OA(410, 55, F4, 5) (dual of [55, 45, 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(4174, 262200, F4, 24) (dual of [262200, 262026, 25]-code) [i]Code Embedding in Larger Space
2Linear OOA(4173, 153708, F4, 2, 24) (dual of [(153708, 2), 307243, 25]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(4173, 153708, F4, 3, 24) (dual of [(153708, 3), 460951, 25]-NRT-code) [i]
4Digital (149, 173, 153708)-net over F4 [i]
5Linear OA(4175, 262202, F4, 24) (dual of [262202, 262027, 25]-code) [i]Construction X with VarÅ¡amov Bound
6Linear OOA(4173, 131099, F4, 2, 24) (dual of [(131099, 2), 262025, 25]-NRT-code) [i]OOA Folding
7Linear OOA(4173, 87399, F4, 3, 24) (dual of [(87399, 3), 262024, 25]-NRT-code) [i]