Information on Result #689043

Linear OA(995, 4782993, F9, 15) (dual of [4782993, 4782898, 16]-code), using construction X applied to Ce(14) ⊂ Ce(11) based on
  1. linear OA(992, 4782969, F9, 15) (dual of [4782969, 4782877, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
  2. linear OA(971, 4782969, F9, 12) (dual of [4782969, 4782898, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
  3. linear OA(93, 24, F9, 2) (dual of [24, 21, 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(995, 4782993, F9, 2, 15) (dual of [(4782993, 2), 9565891, 16]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(995, 4782993, F9, 3, 15) (dual of [(4782993, 3), 14348884, 16]-NRT-code) [i]
3Digital (80, 95, 4782993)-net over F9 [i]
4Linear OOA(995, 2391496, F9, 2, 15) (dual of [(2391496, 2), 4782897, 16]-NRT-code) [i]OOA Folding
5Linear OOA(995, 1594331, F9, 3, 15) (dual of [(1594331, 3), 4782898, 16]-NRT-code) [i]
6Linear OOA(995, 683284, F9, 15, 15) (dual of [(683284, 15), 10249165, 16]-NRT-code) [i]OOA Folding and Stacking with Additional Row