Information on Result #689111

Linear OA(976, 4782996, F9, 12) (dual of [4782996, 4782920, 13]-code), using construction XX applied to Ce(11) ⊂ Ce(7) ⊂ Ce(6) based on
  1. 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]
  2. linear OA(950, 4782969, F9, 8) (dual of [4782969, 4782919, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
  3. linear OA(943, 4782969, F9, 7) (dual of [4782969, 4782926, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
  4. linear OA(94, 26, F9, 3) (dual of [26, 22, 4]-code or 26-cap in PG(3,9)), using
  5. linear OA(90, 1, F9, 0) (dual of [1, 1, 1]-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(976, 4782996, F9, 2, 12) (dual of [(4782996, 2), 9565916, 13]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(976, 4782996, F9, 3, 12) (dual of [(4782996, 3), 14348912, 13]-NRT-code) [i]
3Digital (64, 76, 4782996)-net over F9 [i]
4Linear OOA(976, 2391498, F9, 2, 12) (dual of [(2391498, 2), 4782920, 13]-NRT-code) [i]OOA Folding
5Linear OOA(976, 1594332, F9, 3, 12) (dual of [(1594332, 3), 4782920, 13]-NRT-code) [i]
6Linear OOA(976, 797166, F9, 12, 12) (dual of [(797166, 12), 9565916, 13]-NRT-code) [i]OA Folding and Stacking