Information on Result #690805
Linear OA(981, 101, F9, 53) (dual of [101, 20, 54]-code), using construction XX applied to C([0,105]) ⊂ C([0,85]) ⊂ C([0,83]) based on
- linear OA(970, 80, F9, 53) (dual of [80, 10, 54]-code), using contraction [i] based on linear OA(9150, 160, F9, 107) (dual of [160, 10, 108]-code), using the expurgated narrow-sense BCH-code C(I) with length 160 | 94−1, defining interval I = [0,105], and minimum distance d ≥ |{−1,0,…,105}|+1 = 108 (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(959, 80, F9, 42) (dual of [80, 21, 43]-code), using contraction [i] based on linear OA(9139, 160, F9, 85) (dual of [160, 21, 86]-code), using the expurgated narrow-sense BCH-code C(I) with length 160 | 94−1, defining interval I = [0,83], and minimum distance d ≥ |{−1,0,…,83}|+1 = 86 (BCH-bound) [i]
- linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using
- extended quadratic residue code Qe(20,9) [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.