Information on Result #674671

Linear OA(3186, 177201, F3, 24) (dual of [177201, 177015, 25]-code), using construction X applied to C([0,12]) ⊂ C([0,9]) based on
  1. linear OA(3177, 177148, F3, 25) (dual of [177148, 176971, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 177148 | 322−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
  2. linear OA(3133, 177148, F3, 19) (dual of [177148, 177015, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 177148 | 322−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
  3. linear OA(39, 53, F3, 4) (dual of [53, 44, 5]-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 OA(3190, 177205, F3, 24) (dual of [177205, 177015, 25]-code) [i]Code Embedding in Larger Space
2Linear OA(3191, 177206, F3, 24) (dual of [177206, 177015, 25]-code) [i]
3Linear OA(3190, 177206, F3, 24) (dual of [177206, 177016, 25]-code) [i]Construction X with VarÅ¡amov Bound
4Linear OOA(3186, 88600, F3, 2, 24) (dual of [(88600, 2), 177014, 25]-NRT-code) [i]OOA Folding
5Linear OOA(3186, 59067, F3, 3, 24) (dual of [(59067, 3), 177015, 25]-NRT-code) [i]
6Linear OOA(3186, 44300, F3, 4, 24) (dual of [(44300, 4), 177014, 25]-NRT-code) [i]
7Linear OOA(3186, 35440, F3, 5, 24) (dual of [(35440, 5), 177014, 25]-NRT-code) [i]
8Linear OOA(3186, 14766, F3, 24, 24) (dual of [(14766, 24), 354198, 25]-NRT-code) [i]OA Folding and Stacking