Information on Result #717031

Linear OA(8167, 537, F8, 61) (dual of [537, 370, 62]-code), using construction XX applied to C1 = C([25,81]), C2 = C([21,77]), C3 = C1 + C2 = C([25,77]), and C∩ = C1 ∩ C2 = C([21,81]) based on
  1. linear OA(8148, 511, F8, 57) (dual of [511, 363, 58]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {25,26,…,81}, and designed minimum distance d ≥ |I|+1 = 58 [i]
  2. linear OA(8151, 511, F8, 57) (dual of [511, 360, 58]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {21,22,…,77}, and designed minimum distance d ≥ |I|+1 = 58 [i]
  3. linear OA(8160, 511, F8, 61) (dual of [511, 351, 62]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {21,22,…,81}, and designed minimum distance d ≥ |I|+1 = 62 [i]
  4. linear OA(8139, 511, F8, 53) (dual of [511, 372, 54]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {25,26,…,77}, and designed minimum distance d ≥ |I|+1 = 54 [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.