Information on Result #685111

Linear OA(7107, 1205, F7, 32) (dual of [1205, 1098, 33]-code), using construction X applied to Ce(31) ⊂ Ce(30) based on
  1. linear OA(7107, 1201, F7, 32) (dual of [1201, 1094, 33]-code), using an extension Ce(31) of the narrow-sense BCH-code C(I) with length 1200 | 74−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
  2. linear OA(7103, 1201, F7, 31) (dual of [1201, 1098, 32]-code), using an extension Ce(30) of the narrow-sense BCH-code C(I) with length 1200 | 74−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
  3. linear OA(70, 4, F7, 0) (dual of [4, 4, 1]-code), 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(7107, 602, F7, 2, 32) (dual of [(602, 2), 1097, 33]-NRT-code) [i]OOA Folding
2Linear OOA(7107, 401, F7, 3, 32) (dual of [(401, 3), 1096, 33]-NRT-code) [i]