Information on Result #685001

Linear OA(761, 2417, F7, 17) (dual of [2417, 2356, 18]-code), using construction X applied to Ce(16) ⊂ Ce(12) 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(745, 2401, F7, 13) (dual of [2401, 2356, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(761, 1208, F7, 2, 17) (dual of [(1208, 2), 2355, 18]-NRT-code) [i]OOA Folding
2Linear OOA(761, 805, F7, 3, 17) (dual of [(805, 3), 2354, 18]-NRT-code) [i]
3Linear OOA(761, 302, F7, 17, 17) (dual of [(302, 17), 5073, 18]-NRT-code) [i]OOA Folding and Stacking with Additional Row