Information on Result #714980

Linear OA(830, 529, F8, 10) (dual of [529, 499, 11]-code), using construction XX applied to C1 = C([510,5]), C2 = C([3,8]), C3 = C1 + C2 = C([3,5]), and C∩ = C1 ∩ C2 = C([510,8]) based on
  1. linear OA(819, 511, F8, 7) (dual of [511, 492, 8]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−1,0,…,5}, and designed minimum distance d ≥ |I|+1 = 8 [i]
  2. linear OA(818, 511, F8, 6) (dual of [511, 493, 7]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {3,4,…,8}, and designed minimum distance d ≥ |I|+1 = 7 [i]
  3. linear OA(825, 511, F8, 10) (dual of [511, 486, 11]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−1,0,…,8}, and designed minimum distance d ≥ |I|+1 = 11 [i]
  4. linear OA(89, 511, F8, 3) (dual of [511, 502, 4]-code or 511-cap in PG(8,8)), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {3,4,5}, and designed minimum distance d ≥ |I|+1 = 4 [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.