Information on Result #712990

Linear OA(789, 187, F7, 39) (dual of [187, 98, 40]-code), using construction XX applied to C1 = C([168,32]), C2 = C([0,35]), C3 = C1 + C2 = C([0,32]), and C∩ = C1 ∩ C2 = C([168,35]) based on
  1. linear OA(779, 171, F7, 36) (dual of [171, 92, 37]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {−3,−2,…,32}, and designed minimum distance d ≥ |I|+1 = 37 [i]
  2. linear OA(779, 171, F7, 36) (dual of [171, 92, 37]-code), using the expurgated narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [0,35], and designed minimum distance d ≥ |I|+1 = 37 [i]
  3. linear OA(785, 171, F7, 39) (dual of [171, 86, 40]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {−3,−2,…,35}, and designed minimum distance d ≥ |I|+1 = 40 [i]
  4. linear OA(773, 171, F7, 33) (dual of [171, 98, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [0,32], and designed minimum distance d ≥ |I|+1 = 34 [i]
  5. linear OA(72, 8, F7, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,7)), using
  6. linear OA(72, 8, F7, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,7)) (see above)

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(790, 188, F7, 39) (dual of [188, 98, 40]-code) [i]Code Embedding in Larger Space
2Linear OOA(789, 93, F7, 2, 39) (dual of [(93, 2), 97, 40]-NRT-code) [i]OOA Folding
3Linear OOA(789, 62, F7, 3, 39) (dual of [(62, 3), 97, 40]-NRT-code) [i]