Information on Result #674315

Linear OA(3105, 4783017, F3, 11) (dual of [4783017, 4782912, 12]-code), using construction X applied to Ce(10) ⊂ Ce(6) based on
  1. linear OA(399, 4782969, F3, 11) (dual of [4782969, 4782870, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
  2. linear OA(357, 4782969, F3, 7) (dual of [4782969, 4782912, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
  3. linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-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 OOA(3105, 2391508, F3, 2, 11) (dual of [(2391508, 2), 4782911, 12]-NRT-code) [i]OOA Folding
2Linear OOA(3105, 1594339, F3, 3, 11) (dual of [(1594339, 3), 4782912, 12]-NRT-code) [i]
3Linear OOA(3105, 1195754, F3, 4, 11) (dual of [(1195754, 4), 4782911, 12]-NRT-code) [i]
4Linear OOA(3105, 956603, F3, 5, 11) (dual of [(956603, 5), 4782910, 12]-NRT-code) [i]
5Linear OOA(3105, 956603, F3, 11, 11) (dual of [(956603, 11), 10522528, 12]-NRT-code) [i]OOA Folding and Stacking with Additional Row