Information on Result #712971

Linear OA(7107, 206, F7, 43) (dual of [206, 99, 44]-code), using construction XX applied to C1 = C([164,32]), C2 = C([1,35]), C3 = C1 + C2 = C([1,32]), and C∩ = C1 ∩ C2 = C([164,35]) based on
  1. linear OA(788, 171, F7, 40) (dual of [171, 83, 41]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {−7,−6,…,32}, and designed minimum distance d ≥ |I|+1 = 41 [i]
  2. linear OA(778, 171, F7, 35) (dual of [171, 93, 36]-code), using the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
  3. linear OA(794, 171, F7, 43) (dual of [171, 77, 44]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {−7,−6,…,35}, and designed minimum distance d ≥ |I|+1 = 44 [i]
  4. linear OA(772, 171, F7, 32) (dual of [171, 99, 33]-code), using the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
  5. linear OA(711, 27, F7, 7) (dual of [27, 16, 8]-code), using
  6. linear OA(72, 8, F7, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,7)), 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(7107, 103, F7, 2, 43) (dual of [(103, 2), 99, 44]-NRT-code) [i]OOA Folding