Information on Result #689181

Linear OA(958, 531456, F9, 11) (dual of [531456, 531398, 12]-code), using construction X applied to Ce(10) ⊂ Ce(7) based on
  1. linear OA(955, 531441, F9, 11) (dual of [531441, 531386, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
  2. linear OA(943, 531441, F9, 8) (dual of [531441, 531398, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
  3. linear OA(93, 15, F9, 2) (dual of [15, 12, 3]-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(958, 531456, F9, 2, 11) (dual of [(531456, 2), 1062854, 12]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(958, 531456, F9, 3, 11) (dual of [(531456, 3), 1594310, 12]-NRT-code) [i]
3Digital (47, 58, 531456)-net over F9 [i]
4Linear OOA(958, 265728, F9, 2, 11) (dual of [(265728, 2), 531398, 12]-NRT-code) [i]OOA Folding
5Linear OOA(958, 177152, F9, 3, 11) (dual of [(177152, 3), 531398, 12]-NRT-code) [i]
6Linear OOA(958, 106291, F9, 11, 11) (dual of [(106291, 11), 1169143, 12]-NRT-code) [i]OOA Folding and Stacking with Additional Row