Information on Result #682319

Linear OA(553, 390651, F5, 8) (dual of [390651, 390598, 9]-code), using construction X applied to Ce(7) ⊂ Ce(3) based on
  1. linear OA(549, 390625, F5, 8) (dual of [390625, 390576, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
  2. linear OA(525, 390625, F5, 4) (dual of [390625, 390600, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
  3. linear OA(54, 26, F5, 3) (dual of [26, 22, 4]-code or 26-cap in PG(3,5)), 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(553, 390651, F5, 2, 8) (dual of [(390651, 2), 781249, 9]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(553, 390651, F5, 3, 8) (dual of [(390651, 3), 1171900, 9]-NRT-code) [i]
3Digital (45, 53, 390651)-net over F5 [i]
4Linear OOA(553, 195325, F5, 2, 8) (dual of [(195325, 2), 390597, 9]-NRT-code) [i]OOA Folding
5Linear OOA(553, 130217, F5, 3, 8) (dual of [(130217, 3), 390598, 9]-NRT-code) [i]
6Linear OOA(553, 97662, F5, 8, 8) (dual of [(97662, 8), 781243, 9]-NRT-code) [i]OA Folding and Stacking