Information on Result #684743

Linear OA(7101, 16812, F7, 24) (dual of [16812, 16711, 25]-code), using construction X applied to Ce(23) ⊂ Ce(22) based on
  1. linear OA(7101, 16807, F7, 24) (dual of [16807, 16706, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
  2. linear OA(796, 16807, F7, 23) (dual of [16807, 16711, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
  3. linear OA(70, 5, F7, 0) (dual of [5, 5, 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(7101, 8406, F7, 2, 24) (dual of [(8406, 2), 16711, 25]-NRT-code) [i]OOA Folding
2Linear OOA(7101, 5604, F7, 3, 24) (dual of [(5604, 3), 16711, 25]-NRT-code) [i]
3Linear OOA(7101, 1401, F7, 24, 24) (dual of [(1401, 24), 33523, 25]-NRT-code) [i]OA Folding and Stacking