Information on Result #715945

Linear OA(8100, 533, F8, 36) (dual of [533, 433, 37]-code), using construction XX applied to C1 = C([508,29]), C2 = C([1,32]), C3 = C1 + C2 = C([1,29]), and C∩ = C1 ∩ C2 = C([508,32]) based on
  1. 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 = {−3,−2,…,29}, and designed minimum distance d ≥ |I|+1 = 34 [i]
  2. linear OA(884, 511, F8, 32) (dual of [511, 427, 33]-code), using the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
  3. linear OA(894, 511, F8, 36) (dual of [511, 417, 37]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−3,−2,…,32}, and designed minimum distance d ≥ |I|+1 = 37 [i]
  4. linear OA(878, 511, F8, 29) (dual of [511, 433, 30]-code), using the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
  5. linear OA(84, 14, F8, 3) (dual of [14, 10, 4]-code or 14-cap in PG(3,8)), using
  6. linear OA(82, 8, F8, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,8)), 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.