Information on Result #691114

Linear OA(983, 91, F9, 68) (dual of [91, 8, 69]-code), using construction X applied to Ce(69) ⊂ Ce(60) based on
  1. linear OA(977, 81, F9, 70) (dual of [81, 4, 71]-code), using an extension Ce(69) of 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]
  2. linear OA(973, 81, F9, 61) (dual of [81, 8, 62]-code), using an extension Ce(60) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,60], and designed minimum distance d ≥ |I|+1 = 61 [i]
  3. 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

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(982, 90, F9, 67) (dual of [90, 8, 68]-code) [i]Truncation
2Linear OA(981, 89, F9, 66) (dual of [89, 8, 67]-code) [i]
3Linear OA(980, 88, F9, 65) (dual of [88, 8, 66]-code) [i]
4Linear OA(979, 87, F9, 64) (dual of [87, 8, 65]-code) [i]
5Linear OA(9109, 117, F9, 84) (dual of [117, 8, 85]-code) [i]Juxtaposition
6Linear OA(9110, 118, F9, 85) (dual of [118, 8, 86]-code) [i]
7Linear OA(9111, 119, F9, 86) (dual of [119, 8, 87]-code) [i]
8Linear OOA(983, 45, F9, 2, 68) (dual of [(45, 2), 7, 69]-NRT-code) [i]OOA Folding