Information on Result #718421

Linear OA(996, 110, F9, 69) (dual of [110, 14, 70]-code), using construction XX applied to C1 = C([11,69]), C2 = C([1,59]), C3 = C1 + C2 = C([11,59]), and C∩ = C1 ∩ C2 = C([1,69]) based on
  1. 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]
  2. linear OA(971, 80, F9, 59) (dual of [80, 9, 60]-code), using the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,59], and designed minimum distance d ≥ |I|+1 = 60 [i]
  3. 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]
  4. linear OA(964, 80, F9, 49) (dual of [80, 16, 50]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {11,12,…,59}, and designed minimum distance d ≥ |I|+1 = 50 [i]
  5. linear OA(910, 15, F9, 9) (dual of [15, 5, 10]-code), using
  6. linear OA(910, 15, F9, 9) (dual of [15, 5, 10]-code) (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 OA(995, 109, F9, 68) (dual of [109, 14, 69]-code) [i]Truncation
2Linear OA(993, 107, F9, 66) (dual of [107, 14, 67]-code) [i]
3Linear OOA(996, 55, F9, 2, 69) (dual of [(55, 2), 14, 70]-NRT-code) [i]OOA Folding