Information on Result #690810
Linear OA(977, 101, F9, 51) (dual of [101, 24, 52]-code), using construction XX applied to C([0,101]) ⊂ C([0,81]) ⊂ C([0,79]) 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(957, 80, F9, 41) (dual of [80, 23, 42]-code), using contraction [i] based on linear OA(9137, 160, F9, 83) (dual of [160, 23, 84]-code), using the expurgated narrow-sense BCH-code C(I) with length 160 | 94−1, defining interval I = [0,81], and minimum distance d ≥ |{−1,0,…,81}|+1 = 84 (BCH-bound) [i]
- linear OA(956, 80, F9, 40) (dual of [80, 24, 41]-code), using contraction [i] based on linear OA(9136, 160, F9, 81) (dual of [160, 24, 82]-code), using the expurgated narrow-sense BCH-code C(I) with length 160 | 94−1, defining interval I = [0,79], and minimum distance d ≥ |{−1,0,…,79}|+1 = 82 (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.