Information on Result #736882

Linear OA(3237, 59126, F3, 33) (dual of [59126, 58889, 34]-code), using construction X applied to C([0,16]) ⊂ C([0,12]) based on
  1. linear OA(3221, 59050, F3, 33) (dual of [59050, 58829, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 320−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (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(316, 76, F3, 7) (dual of [76, 60, 8]-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(3239, 59128, F3, 33) (dual of [59128, 58889, 34]-code) [i]Code Embedding in Larger Space
2Linear OA(3240, 59129, F3, 33) (dual of [59129, 58889, 34]-code) [i]
3Linear OA(3241, 59130, F3, 33) (dual of [59130, 58889, 34]-code) [i]
4Linear OA(3241, 59131, F3, 33) (dual of [59131, 58890, 34]-code) [i]Construction X with VarÅ¡amov Bound
5Linear OOA(3237, 29563, F3, 2, 33) (dual of [(29563, 2), 58889, 34]-NRT-code) [i]OOA Folding
6Linear OOA(3237, 19708, F3, 3, 33) (dual of [(19708, 3), 58887, 34]-NRT-code) [i]
7Linear OOA(3237, 14781, F3, 4, 33) (dual of [(14781, 4), 58887, 34]-NRT-code) [i]
8Linear OOA(3237, 11825, F3, 5, 33) (dual of [(11825, 5), 58888, 34]-NRT-code) [i]
9Linear OOA(3237, 3695, F3, 33, 33) (dual of [(3695, 33), 121698, 34]-NRT-code) [i]OOA Folding and Stacking with Additional Row