Information on Result #736877

Linear OA(3212, 59101, F3, 31) (dual of [59101, 58889, 32]-code), using construction X applied to C([0,15]) ⊂ C([0,12]) based on
  1. linear OA(3201, 59050, F3, 31) (dual of [59050, 58849, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 320−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
  2. 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]
  3. linear OA(311, 51, F3, 5) (dual of [51, 40, 6]-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(3212, 59101, F3, 30) (dual of [59101, 58889, 31]-code) [i]Strength Reduction
2Linear OA(3214, 59103, F3, 31) (dual of [59103, 58889, 32]-code) [i]Code Embedding in Larger Space
3Linear OA(3215, 59104, F3, 31) (dual of [59104, 58889, 32]-code) [i]
4Linear OA(3216, 59105, F3, 31) (dual of [59105, 58889, 32]-code) [i]
5Linear OA(3211, 59100, F3, 30) (dual of [59100, 58889, 31]-code) [i]Truncation
6Linear OOA(3212, 29550, F3, 2, 31) (dual of [(29550, 2), 58888, 32]-NRT-code) [i]OOA Folding
7Linear OOA(3212, 19700, F3, 3, 31) (dual of [(19700, 3), 58888, 32]-NRT-code) [i]
8Linear OOA(3212, 14775, F3, 4, 31) (dual of [(14775, 4), 58888, 32]-NRT-code) [i]
9Linear OOA(3212, 11820, F3, 5, 31) (dual of [(11820, 5), 58888, 32]-NRT-code) [i]
10Linear OOA(3212, 3940, F3, 31, 31) (dual of [(3940, 31), 121928, 32]-NRT-code) [i]OOA Folding and Stacking with Additional Row