Information on Result #685038

Linear OA(764, 2428, F7, 17) (dual of [2428, 2364, 18]-code), using construction X applied to Ce(16) ⊂ Ce(10) based on
  1. linear OA(757, 2401, F7, 17) (dual of [2401, 2344, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
  2. linear OA(737, 2401, F7, 11) (dual of [2401, 2364, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
  3. linear OA(77, 27, F7, 5) (dual of [27, 20, 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 OOA(764, 1214, F7, 2, 17) (dual of [(1214, 2), 2364, 18]-NRT-code) [i]OOA Folding
2Linear OOA(764, 809, F7, 3, 17) (dual of [(809, 3), 2363, 18]-NRT-code) [i]