Information on Result #691377

Linear OA(983, 92, F9, 67) (dual of [92, 9, 68]-code), using construction XX applied to Ce(69) ⊂ Ce(60) ⊂ Ce(59) 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(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]
  4. linear OA(95, 10, F9, 5) (dual of [10, 5, 6]-code or 10-arc in PG(4,9)), using
  5. linear OA(90, 1, F9, 0) (dual of [1, 1, 1]-code), 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(983, 92, F9, 66) (dual of [92, 9, 67]-code) [i]Strength Reduction
2Linear OA(983, 92, F9, 65) (dual of [92, 9, 66]-code) [i]
3Linear OA(981, 90, F9, 65) (dual of [90, 9, 66]-code) [i]Truncation
4Linear OA(980, 89, F9, 64) (dual of [89, 9, 65]-code) [i]
5Linear OA(979, 88, F9, 63) (dual of [88, 9, 64]-code) [i]
6Linear OA(977, 86, F9, 61) (dual of [86, 9, 62]-code) [i]
7Linear OA(975, 84, F9, 59) (dual of [84, 9, 60]-code) [i]
8Linear OA(974, 83, F9, 58) (dual of [83, 9, 59]-code) [i]
9Linear OA(9110, 119, F9, 83) (dual of [119, 9, 84]-code) [i]Juxtaposition
10Linear OA(9111, 120, F9, 84) (dual of [120, 9, 85]-code) [i]
11Linear OOA(983, 46, F9, 2, 67) (dual of [(46, 2), 9, 68]-NRT-code) [i]OOA Folding