Information on Result #689695

Linear OA(9150, 6570, F9, 42) (dual of [6570, 6420, 43]-code), using construction X applied to Ce(41) ⊂ Ce(39) based on
  1. linear OA(9149, 6561, F9, 42) (dual of [6561, 6412, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
  2. linear OA(9141, 6561, F9, 40) (dual of [6561, 6420, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
  3. linear OA(91, 9, F9, 1) (dual of [9, 8, 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 OOA(9150, 6570, F9, 2, 42) (dual of [(6570, 2), 12990, 43]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(9150, 6570, F9, 3, 42) (dual of [(6570, 3), 19560, 43]-NRT-code) [i]
3Digital (108, 150, 6570)-net over F9 [i]
4Linear OOA(9150, 3285, F9, 2, 42) (dual of [(3285, 2), 6420, 43]-NRT-code) [i]OOA Folding
5Linear OOA(9150, 2190, F9, 3, 42) (dual of [(2190, 3), 6420, 43]-NRT-code) [i]