Information on Result #675684

Linear OA(3146, 6596, F3, 26) (dual of [6596, 6450, 27]-code), using construction XX applied to Ce(25) ⊂ Ce(21) ⊂ Ce(19) based on
  1. linear OA(3137, 6561, F3, 26) (dual of [6561, 6424, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
  2. linear OA(3113, 6561, F3, 22) (dual of [6561, 6448, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
  3. linear OA(3105, 6561, F3, 20) (dual of [6561, 6456, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
  4. linear OA(36, 32, F3, 3) (dual of [32, 26, 4]-code or 32-cap in PG(5,3)), using
  5. linear OA(31, 3, F3, 1) (dual of [3, 2, 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(3146, 3718, F3, 2, 26) (dual of [(3718, 2), 7290, 27]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3146, 3718, F3, 3, 26) (dual of [(3718, 3), 11008, 27]-NRT-code) [i]
3Linear OOA(3146, 3718, F3, 4, 26) (dual of [(3718, 4), 14726, 27]-NRT-code) [i]
4Linear OOA(3146, 3718, F3, 5, 26) (dual of [(3718, 5), 18444, 27]-NRT-code) [i]
5Digital (120, 146, 3718)-net over F3 [i]
6Linear OOA(3146, 3298, F3, 2, 26) (dual of [(3298, 2), 6450, 27]-NRT-code) [i]OOA Folding
7Linear OOA(3146, 1649, F3, 4, 26) (dual of [(1649, 4), 6450, 27]-NRT-code) [i]
8Linear OOA(3146, 1319, F3, 5, 26) (dual of [(1319, 5), 6449, 27]-NRT-code) [i]