Information on Result #674845

Linear OA(3170, 59099, F3, 24) (dual of [59099, 58929, 25]-code), using construction X applied to C([0,12]) ⊂ C([0,9]) based on
  1. linear OA(3161, 59050, F3, 25) (dual of [59050, 58889, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 320−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
  2. linear OA(3121, 59050, F3, 19) (dual of [59050, 58929, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 320−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
  3. linear OA(39, 49, F3, 4) (dual of [49, 40, 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(3174, 59103, F3, 24) (dual of [59103, 58929, 25]-code) [i]Code Embedding in Larger Space
2Linear OA(3175, 59104, F3, 24) (dual of [59104, 58929, 25]-code) [i]
3Linear OA(3174, 59104, F3, 24) (dual of [59104, 58930, 25]-code) [i]Construction X with VarÅ¡amov Bound
4Linear OOA(3170, 29549, F3, 2, 24) (dual of [(29549, 2), 58928, 25]-NRT-code) [i]OOA Folding
5Linear OOA(3170, 19699, F3, 3, 24) (dual of [(19699, 3), 58927, 25]-NRT-code) [i]
6Linear OOA(3170, 14774, F3, 4, 24) (dual of [(14774, 4), 58926, 25]-NRT-code) [i]
7Linear OOA(3170, 11819, F3, 5, 24) (dual of [(11819, 5), 58925, 25]-NRT-code) [i]