Information on Result #676037

Linear OA(3120, 2214, F3, 25) (dual of [2214, 2094, 26]-code), using construction X applied to Ce(24) ⊂ Ce(19) based on
  1. linear OA(3113, 2187, F3, 25) (dual of [2187, 2074, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
  2. linear OA(392, 2187, F3, 20) (dual of [2187, 2095, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [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(3120, 1366, F3, 2, 25) (dual of [(1366, 2), 2612, 26]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3120, 1366, F3, 3, 25) (dual of [(1366, 3), 3978, 26]-NRT-code) [i]
3Linear OOA(3120, 1366, F3, 4, 25) (dual of [(1366, 4), 5344, 26]-NRT-code) [i]
4Linear OOA(3120, 1366, F3, 5, 25) (dual of [(1366, 5), 6710, 26]-NRT-code) [i]
5Digital (95, 120, 1366)-net over F3 [i]
6Linear OOA(3120, 1107, F3, 2, 25) (dual of [(1107, 2), 2094, 26]-NRT-code) [i]OOA Folding
7Linear OOA(3120, 738, F3, 3, 25) (dual of [(738, 3), 2094, 26]-NRT-code) [i]
8Linear OOA(3120, 553, F3, 4, 25) (dual of [(553, 4), 2092, 26]-NRT-code) [i]
9Linear OOA(3120, 442, F3, 5, 25) (dual of [(442, 5), 2090, 26]-NRT-code) [i]