Information on Result #685014

Linear OA(793, 2421, F7, 26) (dual of [2421, 2328, 27]-code), using construction X applied to Ce(25) ⊂ Ce(21) based on
  1. 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]
  2. linear OA(773, 2401, F7, 22) (dual of [2401, 2328, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
  3. linear OA(74, 20, F7, 3) (dual of [20, 16, 4]-code or 20-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 OA(794, 2422, F7, 26) (dual of [2422, 2328, 27]-code) [i]Code Embedding in Larger Space
2Linear OOA(793, 1210, F7, 2, 26) (dual of [(1210, 2), 2327, 27]-NRT-code) [i]OOA Folding
3Linear OOA(793, 807, F7, 3, 26) (dual of [(807, 3), 2328, 27]-NRT-code) [i]