Information on Result #691148
Linear OA(981, 96, F9, 60) (dual of [96, 15, 61]-code), using construction X applied to Ce(59) ⊂ Ce(50) based on
- 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]
- linear OA(966, 81, F9, 51) (dual of [81, 15, 52]-code), using an extension Ce(50) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(99, 15, F9, 8) (dual of [15, 6, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(99, 19, F9, 8) (dual of [19, 10, 9]-code), using
- 1 times truncation [i] based on linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using
- extended quadratic residue code Qe(20,9) [i]
- 1 times truncation [i] based on linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(99, 19, F9, 8) (dual of [19, 10, 9]-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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(980, 95, F9, 59) (dual of [95, 15, 60]-code) | [i] | Truncation | |
| 2 | Linear OA(979, 94, F9, 58) (dual of [94, 15, 59]-code) | [i] | ||
| 3 | Linear OA(978, 93, F9, 57) (dual of [93, 15, 58]-code) | [i] | ||
| 4 | Linear OA(977, 92, F9, 56) (dual of [92, 15, 57]-code) | [i] | ||
| 5 | Linear OOA(981, 48, F9, 2, 60) (dual of [(48, 2), 15, 61]-NRT-code) | [i] | OOA Folding | |