Information on Result #684990

Linear OA(7105, 2417, F7, 30) (dual of [2417, 2312, 31]-code), using construction X applied to Ce(29) ⊂ Ce(25) based on
  1. linear OA(7101, 2401, F7, 30) (dual of [2401, 2300, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
  2. linear OA(789, 2401, F7, 26) (dual of [2401, 2312, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
  3. 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(7105, 1208, F7, 2, 30) (dual of [(1208, 2), 2311, 31]-NRT-code) [i]OOA Folding
2Linear OOA(7105, 805, F7, 3, 30) (dual of [(805, 3), 2310, 31]-NRT-code) [i]