Information on Result #677961

Linear OA(468, 4194328, F4, 8) (dual of [4194328, 4194260, 9]-code), using construction X4 applied to Ce(8) ⊂ Ce(5) based on
  1. linear OA(467, 4194304, F4, 9) (dual of [4194304, 4194237, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
  2. linear OA(445, 4194304, F4, 6) (dual of [4194304, 4194259, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
  3. linear OA(423, 24, F4, 23) (dual of [24, 1, 24]-code or 24-arc in PG(22,4)), using
  4. linear OA(41, 24, F4, 1) (dual of [24, 23, 2]-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(469, 4194329, F4, 8) (dual of [4194329, 4194260, 9]-code) [i]Code Embedding in Larger Space
2Linear OA(470, 4194330, F4, 8) (dual of [4194330, 4194260, 9]-code) [i]
3Linear OOA(468, 4194328, F4, 2, 8) (dual of [(4194328, 2), 8388588, 9]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
4Linear OOA(468, 4194328, F4, 3, 8) (dual of [(4194328, 3), 12582916, 9]-NRT-code) [i]
5Digital (60, 68, 4194328)-net over F4 [i]
6Linear OA(469, 4194330, F4, 8) (dual of [4194330, 4194261, 9]-code) [i]Construction X with VarÅ¡amov Bound
7Linear OA(470, 4194332, F4, 8) (dual of [4194332, 4194262, 9]-code) [i]
8Linear OOA(468, 2097164, F4, 2, 8) (dual of [(2097164, 2), 4194260, 9]-NRT-code) [i]OOA Folding
9Linear OOA(468, 1048582, F4, 8, 8) (dual of [(1048582, 8), 8388588, 9]-NRT-code) [i]OA Folding and Stacking