Information on Result #718500

Linear OA(993, 100, F9, 75) (dual of [100, 7, 76]-code), using construction XX applied to C1 = C([11,79]), C2 = C([1,69]), C3 = C1 + C2 = C([11,69]), and C∩ = C1 ∩ C2 = C([1,79]) based on
  1. 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 = {11,12,…,79}, and designed minimum distance d ≥ |I|+1 = 70 [i]
  2. linear OA(976, 80, F9, 69) (dual of [80, 4, 70]-code), using the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,69], and designed minimum distance d ≥ |I|+1 = 70 [i]
  3. linear OA(979, 80, F9, 79) (dual of [80, 1, 80]-code or 80-arc in PG(78,9)), using the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,79], and designed minimum distance d ≥ |I|+1 = 80 [i]
  4. linear OA(971, 80, F9, 59) (dual of [80, 9, 60]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {11,12,…,69}, and designed minimum distance d ≥ |I|+1 = 60 [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(97, 10, F9, 7) (dual of [10, 3, 8]-code or 10-arc in PG(6,9)) (see above)

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

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(993, 50, F9, 2, 75) (dual of [(50, 2), 7, 76]-NRT-code) [i]OOA Folding