Information on Result #691119

Linear OA(978, 91, F9, 59) (dual of [91, 13, 60]-code), using construction X applied to Ce(59) ⊂ Ce(51) based on
  1. linear OA(972, 81, F9, 60) (dual of [81, 9, 61]-code), using an extension Ce(59) of 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]
  2. linear OA(968, 81, F9, 52) (dual of [81, 13, 53]-code), using an extension Ce(51) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,51], and designed minimum distance d ≥ |I|+1 = 52 [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(977, 90, F9, 58) (dual of [90, 13, 59]-code) [i]Truncation
2Linear OA(976, 89, F9, 57) (dual of [89, 13, 58]-code) [i]
3Linear OA(975, 88, F9, 56) (dual of [88, 13, 57]-code) [i]
4Linear OA(974, 87, F9, 55) (dual of [87, 13, 56]-code) [i]
5Linear OOA(978, 45, F9, 2, 59) (dual of [(45, 2), 12, 60]-NRT-code) [i]OOA Folding