Information on Result #685026

Linear OA(745, 2421, F7, 12) (dual of [2421, 2376, 13]-code), using construction X applied to Ce(11) ⊂ Ce(7) based on
  1. linear OA(741, 2401, F7, 12) (dual of [2401, 2360, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
  2. linear OA(725, 2401, F7, 8) (dual of [2401, 2376, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [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(745, 1210, F7, 2, 12) (dual of [(1210, 2), 2375, 13]-NRT-code) [i]OOA Folding
2Linear OOA(745, 807, F7, 3, 12) (dual of [(807, 3), 2376, 13]-NRT-code) [i]
3Linear OOA(745, 403, F7, 12, 12) (dual of [(403, 12), 4791, 13]-NRT-code) [i]OA Folding and Stacking