Information on Result #685012

Linear OA(7101, 2421, F7, 28) (dual of [2421, 2320, 29]-code), using construction X applied to Ce(28) ⊂ Ce(23) based on
  1. linear OA(797, 2401, F7, 29) (dual of [2401, 2304, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
  2. linear OA(781, 2401, F7, 24) (dual of [2401, 2320, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [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(7101, 1210, F7, 2, 28) (dual of [(1210, 2), 2319, 29]-NRT-code) [i]OOA Folding
2Linear OOA(7101, 807, F7, 3, 28) (dual of [(807, 3), 2320, 29]-NRT-code) [i]