Information on Result #715143

Linear OA(857, 546, F8, 18) (dual of [546, 489, 19]-code), using construction XX applied to C1 = C([68,81]), C2 = C([64,75]), C3 = C1 + C2 = C([68,75]), and C∩ = C1 ∩ C2 = C([64,81]) based on
  1. linear OA(837, 511, F8, 14) (dual of [511, 474, 15]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {68,69,…,81}, and designed minimum distance d ≥ |I|+1 = 15 [i]
  2. linear OA(831, 511, F8, 12) (dual of [511, 480, 13]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {64,65,…,75}, and designed minimum distance d ≥ |I|+1 = 13 [i]
  3. linear OA(846, 511, F8, 18) (dual of [511, 465, 19]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {64,65,…,81}, and designed minimum distance d ≥ |I|+1 = 19 [i]
  4. linear OA(822, 511, F8, 8) (dual of [511, 489, 9]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {68,69,…,75}, and designed minimum distance d ≥ |I|+1 = 9 [i]
  5. linear OA(87, 22, F8, 5) (dual of [22, 15, 6]-code), using
  6. linear OA(84, 13, F8, 3) (dual of [13, 9, 4]-code or 13-cap in PG(3,8)), 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(857, 273, F8, 2, 18) (dual of [(273, 2), 489, 19]-NRT-code) [i]OOA Folding
2Linear OOA(857, 182, F8, 3, 18) (dual of [(182, 3), 489, 19]-NRT-code) [i]