Information on Result #737749

Linear OA(770, 184, F7, 29) (dual of [184, 114, 30]-code), using construction X applied to Ce(28) ⊂ Ce(22) based on
  1. linear OA(764, 172, F7, 29) (dual of [172, 108, 30]-code), using an extension Ce(28) of the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
  2. linear OA(758, 172, F7, 23) (dual of [172, 114, 24]-code), using an extension Ce(22) of the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
  3. linear OA(76, 12, F7, 5) (dual of [12, 6, 6]-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 OA(768, 182, F7, 27) (dual of [182, 114, 28]-code) [i]Truncation
2Linear OOA(770, 92, F7, 2, 29) (dual of [(92, 2), 114, 30]-NRT-code) [i]OOA Folding