Information on Result #737751

Linear OA(770, 187, F7, 28) (dual of [187, 117, 29]-code), using construction X applied to Ce(28) ⊂ Ce(21) 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(755, 172, F7, 22) (dual of [172, 117, 23]-code), using an extension Ce(21) of the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
  3. linear OA(76, 15, F7, 5) (dual of [15, 9, 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(769, 186, F7, 27) (dual of [186, 117, 28]-code) [i]Truncation
2Linear OOA(770, 93, F7, 2, 28) (dual of [(93, 2), 116, 29]-NRT-code) [i]OOA Folding
3Linear OOA(770, 62, F7, 3, 28) (dual of [(62, 3), 116, 29]-NRT-code) [i]