Information on Result #690774
Linear OA(972, 89, F9, 51) (dual of [89, 17, 52]-code), using construction X applied to C([0,101]) ⊂ C([0,87]) based on
- linear OA(966, 80, F9, 51) (dual of [80, 14, 52]-code), using contraction [i] based on linear OA(9146, 160, F9, 103) (dual of [160, 14, 104]-code), using the expurgated narrow-sense BCH-code C(I) with length 160 | 94−1, defining interval I = [0,101], and minimum distance d ≥ |{−1,0,…,101}|+1 = 104 (BCH-bound) [i]
- linear OA(963, 80, F9, 44) (dual of [80, 17, 45]-code), using contraction [i] based on linear OA(9143, 160, F9, 89) (dual of [160, 17, 90]-code), using the expurgated narrow-sense BCH-code C(I) with length 160 | 94−1, defining interval I = [0,87], and minimum distance d ≥ |{−1,0,…,87}|+1 = 90 (BCH-bound) [i]
- linear OA(96, 9, F9, 6) (dual of [9, 3, 7]-code or 9-arc in PG(5,9)), using
- Reed–Solomon code RS(3,9) [i]
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.