Information on Result #691188
Linear OA(983, 98, F9, 61) (dual of [98, 15, 62]-code), using construction X applied to Ce(60) ⊂ Ce(50) based on
- 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]
- 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(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 OOA(983, 49, F9, 2, 61) (dual of [(49, 2), 15, 62]-NRT-code) | [i] | OOA Folding | |