Information on Result #737745

Linear OA(796, 360, F7, 36) (dual of [360, 264, 37]-code), using construction X applied to Ce(35) ⊂ Ce(30) based on
  1. linear OA(791, 343, F7, 36) (dual of [343, 252, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
  2. linear OA(779, 343, F7, 31) (dual of [343, 264, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
  3. linear OA(75, 17, F7, 4) (dual of [17, 12, 5]-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(796, 180, F7, 2, 36) (dual of [(180, 2), 264, 37]-NRT-code) [i]OOA Folding
2Linear OOA(796, 120, F7, 3, 36) (dual of [(120, 3), 264, 37]-NRT-code) [i]