Information on Result #675675

Linear OA(3161, 6594, F3, 29) (dual of [6594, 6433, 30]-code), using construction XX applied to Ce(28) ⊂ Ce(24) ⊂ Ce(22) based on
  1. 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]
  2. 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]
  3. linear OA(3121, 6561, F3, 23) (dual of [6561, 6440, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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(3161, 3645, F3, 2, 29) (dual of [(3645, 2), 7129, 30]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3161, 3645, F3, 3, 29) (dual of [(3645, 3), 10774, 30]-NRT-code) [i]
3Linear OOA(3161, 3645, F3, 4, 29) (dual of [(3645, 4), 14419, 30]-NRT-code) [i]
4Linear OOA(3161, 3645, F3, 5, 29) (dual of [(3645, 5), 18064, 30]-NRT-code) [i]
5Digital (132, 161, 3645)-net over F3 [i]
6Linear OOA(3161, 3297, F3, 2, 29) (dual of [(3297, 2), 6433, 30]-NRT-code) [i]OOA Folding
7Linear OOA(3161, 2198, F3, 3, 29) (dual of [(2198, 3), 6433, 30]-NRT-code) [i]