Information on Result #674737

Linear OA(3238, 177186, F3, 32) (dual of [177186, 176948, 33]-code), using construction X applied to Ce(31) ⊂ Ce(27) based on
  1. linear OA(3232, 177147, F3, 32) (dual of [177147, 176915, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
  2. linear OA(3199, 177147, F3, 28) (dual of [177147, 176948, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
  3. linear OA(36, 39, F3, 3) (dual of [39, 33, 4]-code or 39-cap in PG(5,3)), 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 OA(3239, 177187, F3, 32) (dual of [177187, 176948, 33]-code) [i]Code Embedding in Larger Space
2Linear OA(3240, 177188, F3, 32) (dual of [177188, 176948, 33]-code) [i]
3Linear OA(3241, 177189, F3, 32) (dual of [177189, 176948, 33]-code) [i]
4Linear OA(3242, 177190, F3, 32) (dual of [177190, 176948, 33]-code) [i]
5Linear OOA(3238, 88593, F3, 2, 32) (dual of [(88593, 2), 176948, 33]-NRT-code) [i]OOA Folding
6Linear OOA(3238, 59062, F3, 3, 32) (dual of [(59062, 3), 176948, 33]-NRT-code) [i]
7Linear OOA(3238, 44296, F3, 4, 32) (dual of [(44296, 4), 176946, 33]-NRT-code) [i]
8Linear OOA(3238, 35437, F3, 5, 32) (dual of [(35437, 5), 176947, 33]-NRT-code) [i]
9Linear OOA(3238, 11074, F3, 32, 32) (dual of [(11074, 32), 354130, 33]-NRT-code) [i]OA Folding and Stacking