Information on Result #716040

Linear OA(8104, 537, F8, 37) (dual of [537, 433, 38]-code), using construction XX applied to C1 = C([49,81]), C2 = C([45,77]), C3 = C1 + C2 = C([49,77]), and C∩ = C1 ∩ C2 = C([45,81]) based on
  1. linear OA(885, 511, F8, 33) (dual of [511, 426, 34]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {49,50,…,81}, and designed minimum distance d ≥ |I|+1 = 34 [i]
  2. linear OA(888, 511, F8, 33) (dual of [511, 423, 34]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {45,46,…,77}, and designed minimum distance d ≥ |I|+1 = 34 [i]
  3. linear OA(897, 511, F8, 37) (dual of [511, 414, 38]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {45,46,…,81}, and designed minimum distance d ≥ |I|+1 = 38 [i]
  4. linear OA(876, 511, F8, 29) (dual of [511, 435, 30]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {49,50,…,77}, and designed minimum distance d ≥ |I|+1 = 30 [i]
  5. linear OA(83, 10, F8, 3) (dual of [10, 7, 4]-code or 10-arc in PG(2,8) or 10-cap in PG(2,8)), using
  6. linear OA(84, 16, F8, 3) (dual of [16, 12, 4]-code or 16-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

None.