Information on Result #690789
Linear OA(977, 96, F9, 52) (dual of [96, 19, 53]-code), using construction X applied to C([0,103]) ⊂ C([0,85]) based on
- linear OA(968, 80, F9, 52) (dual of [80, 12, 53]-code), using contraction [i] based on linear OA(9148, 160, F9, 105) (dual of [160, 12, 106]-code), using the expurgated narrow-sense BCH-code C(I) with length 160 | 94−1, defining interval I = [0,103], and minimum distance d ≥ |{−1,0,…,103}|+1 = 106 (BCH-bound) [i]
- linear OA(961, 80, F9, 43) (dual of [80, 19, 44]-code), using contraction [i] based on linear OA(9141, 160, F9, 87) (dual of [160, 19, 88]-code), using the expurgated narrow-sense BCH-code C(I) with length 160 | 94−1, defining interval I = [0,85], and minimum distance d ≥ |{−1,0,…,85}|+1 = 88 (BCH-bound) [i]
- linear OA(99, 16, F9, 8) (dual of [16, 7, 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
None.