Information on Result #674662

Linear OA(3230, 177201, F3, 30) (dual of [177201, 176971, 31]-code), using construction X applied to C([0,15]) ⊂ C([0,12]) based on
  1. linear OA(3221, 177148, F3, 31) (dual of [177148, 176927, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 177148 | 322−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
  2. 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]
  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(3234, 177205, F3, 30) (dual of [177205, 176971, 31]-code) [i]Code Embedding in Larger Space
2Linear OA(3235, 177206, F3, 30) (dual of [177206, 176971, 31]-code) [i]
3Linear OA(3235, 177207, F3, 30) (dual of [177207, 176972, 31]-code) [i]Construction X with VarÅ¡amov Bound
4Linear OOA(3230, 88600, F3, 2, 30) (dual of [(88600, 2), 176970, 31]-NRT-code) [i]OOA Folding
5Linear OOA(3230, 59067, F3, 3, 30) (dual of [(59067, 3), 176971, 31]-NRT-code) [i]
6Linear OOA(3230, 44300, F3, 4, 30) (dual of [(44300, 4), 176970, 31]-NRT-code) [i]
7Linear OOA(3230, 35440, F3, 5, 30) (dual of [(35440, 5), 176970, 31]-NRT-code) [i]
8Linear OOA(3230, 11813, F3, 30, 30) (dual of [(11813, 30), 354160, 31]-NRT-code) [i]OA Folding and Stacking