Information on Result #675695

Linear OA(3129, 6594, F3, 23) (dual of [6594, 6465, 24]-code), using construction XX applied to Ce(22) ⊂ Ce(18) ⊂ Ce(16) based on
  1. 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]
  2. 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]
  3. linear OA(389, 6561, F3, 17) (dual of [6561, 6472, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(3129, 3493, F3, 2, 23) (dual of [(3493, 2), 6857, 24]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3129, 3493, F3, 3, 23) (dual of [(3493, 3), 10350, 24]-NRT-code) [i]
3Linear OOA(3129, 3493, F3, 4, 23) (dual of [(3493, 4), 13843, 24]-NRT-code) [i]
4Linear OOA(3129, 3493, F3, 5, 23) (dual of [(3493, 5), 17336, 24]-NRT-code) [i]
5Digital (106, 129, 3493)-net over F3 [i]
6Linear OOA(3129, 3297, F3, 2, 23) (dual of [(3297, 2), 6465, 24]-NRT-code) [i]OOA Folding
7Linear OOA(3129, 2198, F3, 3, 23) (dual of [(2198, 3), 6465, 24]-NRT-code) [i]