Information on Result #676198

Linear OA(3157, 2219, F3, 32) (dual of [2219, 2062, 33]-code), using construction XX applied to Ce(31) ⊂ Ce(27) ⊂ Ce(25) based on
  1. linear OA(3148, 2187, F3, 32) (dual of [2187, 2039, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
  2. linear OA(3127, 2187, F3, 28) (dual of [2187, 2060, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
  3. 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]
  4. linear OA(36, 29, F3, 3) (dual of [29, 23, 4]-code or 29-cap in PG(5,3)), using
  5. linear OA(31, 3, F3, 1) (dual of [3, 2, 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(3157, 1795, F3, 2, 32) (dual of [(1795, 2), 3433, 33]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3157, 1795, F3, 3, 32) (dual of [(1795, 3), 5228, 33]-NRT-code) [i]
3Linear OOA(3157, 1795, F3, 4, 32) (dual of [(1795, 4), 7023, 33]-NRT-code) [i]
4Linear OOA(3157, 1795, F3, 5, 32) (dual of [(1795, 5), 8818, 33]-NRT-code) [i]
5Digital (125, 157, 1795)-net over F3 [i]
6Linear OOA(3157, 1109, F3, 2, 32) (dual of [(1109, 2), 2061, 33]-NRT-code) [i]OOA Folding