Information on Result #685024

Linear OA(753, 2421, F7, 14) (dual of [2421, 2368, 15]-code), using construction X applied to Ce(14) ⊂ Ce(9) based on
  1. linear OA(749, 2401, F7, 15) (dual of [2401, 2352, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
  2. linear OA(733, 2401, F7, 10) (dual of [2401, 2368, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [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 OOA(753, 1210, F7, 2, 14) (dual of [(1210, 2), 2367, 15]-NRT-code) [i]OOA Folding
2Linear OOA(753, 807, F7, 3, 14) (dual of [(807, 3), 2368, 15]-NRT-code) [i]