Information on Result #714995

Linear OA(833, 529, F8, 11) (dual of [529, 496, 12]-code), using construction XX applied to C1 = C([510,6]), C2 = C([3,9]), C3 = C1 + C2 = C([3,6]), and C∩ = C1 ∩ C2 = C([510,9]) based on
  1. 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 = {−1,0,…,6}, and designed minimum distance d ≥ |I|+1 = 9 [i]
  2. linear OA(821, 511, F8, 7) (dual of [511, 490, 8]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {3,4,…,9}, and designed minimum distance d ≥ |I|+1 = 8 [i]
  3. linear OA(828, 511, F8, 11) (dual of [511, 483, 12]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−1,0,…,9}, and designed minimum distance d ≥ |I|+1 = 12 [i]
  4. linear OA(812, 511, F8, 4) (dual of [511, 499, 5]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {3,4,5,6}, and designed minimum distance d ≥ |I|+1 = 5 [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(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.