Information on Result #713828

Linear OA(7104, 391, F7, 34) (dual of [391, 287, 35]-code), using construction XX applied to C1 = C([334,21]), C2 = C([0,25]), C3 = C1 + C2 = C([0,21]), and C∩ = C1 ∩ C2 = C([334,25]) based on
  1. linear OA(776, 342, F7, 30) (dual of [342, 266, 31]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {−8,−7,…,21}, and designed minimum distance d ≥ |I|+1 = 31 [i]
  2. linear OA(767, 342, F7, 26) (dual of [342, 275, 27]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [0,25], and designed minimum distance d ≥ |I|+1 = 27 [i]
  3. linear OA(788, 342, F7, 34) (dual of [342, 254, 35]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {−8,−7,…,25}, and designed minimum distance d ≥ |I|+1 = 35 [i]
  4. linear OA(755, 342, F7, 22) (dual of [342, 287, 23]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23 [i]
  5. linear OA(712, 33, F7, 7) (dual of [33, 21, 8]-code), using
  6. linear OA(74, 16, F7, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,7)), 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(7104, 195, F7, 2, 34) (dual of [(195, 2), 286, 35]-NRT-code) [i]OOA Folding
2Linear OOA(7104, 130, F7, 3, 34) (dual of [(130, 3), 286, 35]-NRT-code) [i]