Information on Result #695383

Linear OA(2714, 735, F27, 7) (dual of [735, 721, 8]-code), using construction X applied to C([0,3]) ⊂ C([0,2]) based on
  1. linear OA(2713, 730, F27, 7) (dual of [730, 717, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 274−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
  2. linear OA(279, 730, F27, 5) (dual of [730, 721, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 274−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
  3. linear OA(271, 5, F27, 1) (dual of [5, 4, 2]-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 OOA(2714, 526, F27, 2, 7) (dual of [(526, 2), 1038, 8]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Digital (7, 14, 526)-net over F27 [i]
3Linear OOA(2714, 367, F27, 2, 7) (dual of [(367, 2), 720, 8]-NRT-code) [i]OOA Folding
4Linear OOA(2714, 244, F27, 7, 7) (dual of [(244, 7), 1694, 8]-NRT-code) [i]OOA Folding and Stacking with Additional Row