Information on Result #675655

Linear OA(3193, 6594, F3, 35) (dual of [6594, 6401, 36]-code), using construction XX applied to Ce(34) ⊂ Ce(30) ⊂ Ce(28) based on
  1. linear OA(3185, 6561, F3, 35) (dual of [6561, 6376, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
  2. linear OA(3161, 6561, F3, 31) (dual of [6561, 6400, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
  3. linear OA(3153, 6561, F3, 29) (dual of [6561, 6408, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [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(31, 2, F3, 1) (dual of [2, 1, 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(3193, 3898, F3, 2, 35) (dual of [(3898, 2), 7603, 36]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3193, 3898, F3, 3, 35) (dual of [(3898, 3), 11501, 36]-NRT-code) [i]
3Linear OOA(3193, 3898, F3, 4, 35) (dual of [(3898, 4), 15399, 36]-NRT-code) [i]
4Linear OOA(3193, 3898, F3, 5, 35) (dual of [(3898, 5), 19297, 36]-NRT-code) [i]
5Digital (158, 193, 3898)-net over F3 [i]
6Linear OOA(3193, 3297, F3, 2, 35) (dual of [(3297, 2), 6401, 36]-NRT-code) [i]OOA Folding
7Linear OOA(3193, 2198, F3, 3, 35) (dual of [(2198, 3), 6401, 36]-NRT-code) [i]