Information on Result #674312

Linear OA(3147, 4783017, F3, 15) (dual of [4783017, 4782870, 16]-code), using construction X applied to Ce(15) ⊂ Ce(10) based on
  1. linear OA(3141, 4782969, F3, 16) (dual of [4782969, 4782828, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
  2. 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]
  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 OA(3148, 4783018, F3, 15) (dual of [4783018, 4782870, 16]-code) [i]Code Embedding in Larger Space
2Linear OOA(3147, 2391508, F3, 2, 15) (dual of [(2391508, 2), 4782869, 16]-NRT-code) [i]OOA Folding
3Linear OOA(3147, 1594339, F3, 3, 15) (dual of [(1594339, 3), 4782870, 16]-NRT-code) [i]
4Linear OOA(3147, 1195754, F3, 4, 15) (dual of [(1195754, 4), 4782869, 16]-NRT-code) [i]
5Linear OOA(3147, 956603, F3, 5, 15) (dual of [(956603, 5), 4782868, 16]-NRT-code) [i]
6Linear OOA(3147, 683288, F3, 15, 15) (dual of [(683288, 15), 10249173, 16]-NRT-code) [i]OOA Folding and Stacking with Additional Row