Information on Result #676220

Linear OA(3117, 2207, F3, 24) (dual of [2207, 2090, 25]-code), using construction XX applied to Ce(24) ⊂ Ce(21) ⊂ 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(399, 2187, F3, 22) (dual of [2187, 2088, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
  3. 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]
  4. linear OA(31, 17, F3, 1) (dual of [17, 16, 2]-code), using
  5. linear OA(31, 3, F3, 1) (dual of [3, 2, 2]-code), 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(3117, 1464, F3, 2, 24) (dual of [(1464, 2), 2811, 25]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3117, 1464, F3, 3, 24) (dual of [(1464, 3), 4275, 25]-NRT-code) [i]
3Linear OOA(3117, 1464, F3, 4, 24) (dual of [(1464, 4), 5739, 25]-NRT-code) [i]
4Linear OOA(3117, 1464, F3, 5, 24) (dual of [(1464, 5), 7203, 25]-NRT-code) [i]
5Digital (93, 117, 1464)-net over F3 [i]
6Linear OOA(3117, 1103, F3, 2, 24) (dual of [(1103, 2), 2089, 25]-NRT-code) [i]OOA Folding