Information on Result #690809
Linear OA(973, 91, F9, 51) (dual of [91, 18, 52]-code), using construction XX applied to C([0,101]) ⊂ C([0,87]) ⊂ C([0,85]) 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(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(96, 10, F9, 6) (dual of [10, 4, 7]-code or 10-arc in PG(5,9)), using
- extended Reed–Solomon code RSe(4,9) [i]
- linear OA(90, 1, F9, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [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.