Information on Result #676217

Linear OA(3128, 2217, F3, 26) (dual of [2217, 2089, 27]-code), using construction XX applied to Ce(25) ⊂ Ce(21) ⊂ Ce(19) based on
  1. linear OA(3120, 2187, F3, 26) (dual of [2187, 2067, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
  2. linear OA(399, 2187, F3, 22) (dual of [2187, 2088, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
  3. linear OA(392, 2187, F3, 20) (dual of [2187, 2095, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
  4. linear OA(36, 28, F3, 3) (dual of [28, 22, 4]-code or 28-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(3128, 1619, F3, 2, 26) (dual of [(1619, 2), 3110, 27]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3128, 1619, F3, 3, 26) (dual of [(1619, 3), 4729, 27]-NRT-code) [i]
3Linear OOA(3128, 1619, F3, 4, 26) (dual of [(1619, 4), 6348, 27]-NRT-code) [i]
4Linear OOA(3128, 1619, F3, 5, 26) (dual of [(1619, 5), 7967, 27]-NRT-code) [i]
5Digital (102, 128, 1619)-net over F3 [i]
6Linear OOA(3128, 739, F3, 3, 26) (dual of [(739, 3), 2089, 27]-NRT-code) [i]OOA Folding
7Linear OOA(3128, 554, F3, 4, 26) (dual of [(554, 4), 2088, 27]-NRT-code) [i]