Information on Result #676014

Linear OA(3190, 2214, F3, 40) (dual of [2214, 2024, 41]-code), using construction X applied to Ce(39) ⊂ Ce(34) based on
  1. linear OA(3183, 2187, F3, 40) (dual of [2187, 2004, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
  2. linear OA(3162, 2187, F3, 35) (dual of [2187, 2025, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
  3. linear OA(37, 27, F3, 4) (dual of [27, 20, 5]-code), using
    • an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 26 = 33−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]

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(3190, 1738, F3, 2, 40) (dual of [(1738, 2), 3286, 41]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3190, 1738, F3, 3, 40) (dual of [(1738, 3), 5024, 41]-NRT-code) [i]
3Linear OOA(3190, 1738, F3, 4, 40) (dual of [(1738, 4), 6762, 41]-NRT-code) [i]
4Linear OOA(3190, 1738, F3, 5, 40) (dual of [(1738, 5), 8500, 41]-NRT-code) [i]
5Digital (150, 190, 1738)-net over F3 [i]
6Linear OOA(3190, 1107, F3, 2, 40) (dual of [(1107, 2), 2024, 41]-NRT-code) [i]OOA Folding
7Linear OOA(3190, 738, F3, 3, 40) (dual of [(738, 3), 2024, 41]-NRT-code) [i]
8Linear OOA(3190, 553, F3, 4, 40) (dual of [(553, 4), 2022, 41]-NRT-code) [i]
9Linear OOA(3190, 442, F3, 5, 40) (dual of [(442, 5), 2020, 41]-NRT-code) [i]