Information on Result #676243

Linear OA(387, 2219, F3, 17) (dual of [2219, 2132, 18]-code), using construction XX applied to Ce(16) ⊂ Ce(12) ⊂ Ce(10) based on
  1. linear OA(378, 2187, F3, 17) (dual of [2187, 2109, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
  2. linear OA(357, 2187, F3, 13) (dual of [2187, 2130, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
  3. linear OA(350, 2187, F3, 11) (dual of [2187, 2137, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [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(387, 1733, F3, 2, 17) (dual of [(1733, 2), 3379, 18]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(387, 1733, F3, 3, 17) (dual of [(1733, 3), 5112, 18]-NRT-code) [i]
3Linear OOA(387, 1733, F3, 4, 17) (dual of [(1733, 4), 6845, 18]-NRT-code) [i]
4Linear OOA(387, 1733, F3, 5, 17) (dual of [(1733, 5), 8578, 18]-NRT-code) [i]
5Digital (70, 87, 1733)-net over F3 [i]
6Linear OOA(387, 1109, F3, 2, 17) (dual of [(1109, 2), 2131, 18]-NRT-code) [i]OOA Folding