Information on Result #718467

Linear OA(989, 100, F9, 66) (dual of [100, 11, 67]-code), using construction XX applied to C1 = C([71,50]), C2 = C([0,59]), C3 = C1 + C2 = C([0,50]), and C∩ = C1 ∩ C2 = C([71,59]) based on
  1. linear OA(972, 80, F9, 60) (dual of [80, 8, 61]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {−9,−8,…,50}, and designed minimum distance d ≥ |I|+1 = 61 [i]
  2. linear OA(972, 80, F9, 60) (dual of [80, 8, 61]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,59], and designed minimum distance d ≥ |I|+1 = 61 [i]
  3. linear OA(976, 80, F9, 69) (dual of [80, 4, 70]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {−9,−8,…,59}, and designed minimum distance d ≥ |I|+1 = 70 [i]
  4. linear OA(966, 80, F9, 51) (dual of [80, 14, 52]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,50], and designed minimum distance d ≥ |I|+1 = 52 [i]
  5. linear OA(97, 10, F9, 7) (dual of [10, 3, 8]-code or 10-arc in PG(6,9)), using
  6. linear OA(96, 10, F9, 6) (dual of [10, 4, 7]-code or 10-arc in PG(5,9)), 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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

None.