Information on Result #691189
Linear OA(982, 98, F9, 60) (dual of [98, 16, 61]-code), using construction X applied to Ce(59) ⊂ Ce(49) 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(965, 81, F9, 50) (dual of [81, 16, 51]-code), using an extension Ce(49) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,49], and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(910, 17, F9, 9) (dual of [17, 7, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using
- extended quadratic residue code Qe(20,9) [i]
- discarding factors / shortening the dual code based on linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-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(982, 98, F9, 59) (dual of [98, 16, 60]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(982, 98, F9, 58) (dual of [98, 16, 59]-code) | [i] | ||
| 3 | Linear OA(982, 98, F9, 57) (dual of [98, 16, 58]-code) | [i] | ||
| 4 | Linear OA(981, 97, F9, 59) (dual of [97, 16, 60]-code) | [i] | Truncation | |
| 5 | Linear OA(980, 96, F9, 58) (dual of [96, 16, 59]-code) | [i] | ||
| 6 | Linear OA(979, 95, F9, 57) (dual of [95, 16, 58]-code) | [i] | ||
| 7 | Linear OA(978, 94, F9, 56) (dual of [94, 16, 57]-code) | [i] | ||
| 8 | Linear OA(977, 93, F9, 55) (dual of [93, 16, 56]-code) | [i] | ||
| 9 | Linear OOA(982, 49, F9, 2, 60) (dual of [(49, 2), 16, 61]-NRT-code) | [i] | OOA Folding | |