Information on Result #675691

Linear OA(3136, 6593, F3, 24) (dual of [6593, 6457, 25]-code), using construction XX applied to Ce(24) ⊂ Ce(19) ⊂ Ce(18) based on
  1. linear OA(3129, 6561, F3, 25) (dual of [6561, 6432, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
  2. 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]
  3. linear OA(397, 6561, F3, 19) (dual of [6561, 6464, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
  4. linear OA(36, 31, F3, 3) (dual of [31, 25, 4]-code or 31-cap in PG(5,3)), using
  5. linear OA(30, 1, F3, 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(3136, 3813, F3, 2, 24) (dual of [(3813, 2), 7490, 25]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3136, 3813, F3, 3, 24) (dual of [(3813, 3), 11303, 25]-NRT-code) [i]
3Linear OOA(3136, 3813, F3, 4, 24) (dual of [(3813, 4), 15116, 25]-NRT-code) [i]
4Linear OOA(3136, 3813, F3, 5, 24) (dual of [(3813, 5), 18929, 25]-NRT-code) [i]
5Digital (112, 136, 3813)-net over F3 [i]
6Linear OOA(3136, 3296, F3, 2, 24) (dual of [(3296, 2), 6456, 25]-NRT-code) [i]OOA Folding
7Linear OOA(3136, 1648, F3, 4, 24) (dual of [(1648, 4), 6456, 25]-NRT-code) [i]