Information on Result #717465

Linear OA(8111, 837, F8, 32) (dual of [837, 726, 33]-code), using construction XX applied to C1 = C([817,27]), C2 = C([0,29]), C3 = C1 + C2 = C([0,27]), and C∩ = C1 ∩ C2 = C([817,29]) based on
  1. linear OA(8101, 819, F8, 30) (dual of [819, 718, 31]-code), using the BCH-code C(I) with length 819 | 84−1, defining interval I = {−2,−1,…,27}, and designed minimum distance d ≥ |I|+1 = 31 [i]
  2. linear OA(8101, 819, F8, 30) (dual of [819, 718, 31]-code), using the expurgated narrow-sense BCH-code C(I) with length 819 | 84−1, defining interval I = [0,29], and designed minimum distance d ≥ |I|+1 = 31 [i]
  3. linear OA(8109, 819, F8, 32) (dual of [819, 710, 33]-code), using the BCH-code C(I) with length 819 | 84−1, defining interval I = {−2,−1,…,29}, and designed minimum distance d ≥ |I|+1 = 33 [i]
  4. linear OA(893, 819, F8, 28) (dual of [819, 726, 29]-code), using the expurgated narrow-sense BCH-code C(I) with length 819 | 84−1, defining interval I = [0,27], and designed minimum distance d ≥ |I|+1 = 29 [i]
  5. linear OA(81, 9, F8, 1) (dual of [9, 8, 2]-code), using
  6. linear OA(81, 9, F8, 1) (dual of [9, 8, 2]-code) (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 OOA(8111, 418, F8, 2, 32) (dual of [(418, 2), 725, 33]-NRT-code) [i]OOA Folding
2Linear OOA(8111, 279, F8, 3, 32) (dual of [(279, 3), 726, 33]-NRT-code) [i]