Information on Result #640949
Linear OA(3173, 180, F3, 109) (dual of [180, 7, 110]-code), using juxtaposition based on
- linear OA(311, 18, F3, 7) (dual of [18, 7, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 23, F3, 7) (dual of [23, 12, 8]-code), using
- 1 times truncation [i] based on linear OA(312, 24, F3, 8) (dual of [24, 12, 9]-code), using
- extended quadratic residue code Qe(24,3) [i]
- 1 times truncation [i] based on linear OA(312, 24, F3, 8) (dual of [24, 12, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 23, F3, 7) (dual of [23, 12, 8]-code), using
- linear OA(3155, 162, F3, 101) (dual of [162, 7, 102]-code), using
- construction X applied to C([0,99]) ⊂ C([1,99]) [i] based on
- linear OA(3154, 160, F3, 101) (dual of [160, 6, 102]-code), using the expurgated narrow-sense BCH-code C(I) with length 160 | 38−1, defining interval I = [0,99], and minimum distance d ≥ |{−1,0,…,99}|+1 = 102 (BCH-bound) [i]
- linear OA(3153, 160, F3, 99) (dual of [160, 7, 100]-code), using the narrow-sense BCH-code C(I) with length 160 | 38−1, defining interval I = [1,99], and designed minimum distance d ≥ |I|+1 = 100 [i]
- linear OA(31, 2, F3, 1) (dual of [2, 1, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,99]) ⊂ C([1,99]) [i] based on
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.