Information on Result #2679144
Linear OOA(3185, 734, F3, 3, 39) (dual of [(734, 3), 2017, 40]-NRT-code), using 31 times duplication based on linear OOA(3184, 734, F3, 3, 39) (dual of [(734, 3), 2018, 40]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3184, 2202, F3, 39) (dual of [2202, 2018, 40]-code), using
- discarding factors / shortening the dual code based on linear OA(3184, 2203, F3, 39) (dual of [2203, 2019, 40]-code), using
- construction X applied to C([0,19]) ⊂ C([0,18]) [i] based on
- linear OA(3183, 2188, F3, 39) (dual of [2188, 2005, 40]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,19], and minimum distance d ≥ |{−19,−18,…,19}|+1 = 40 (BCH-bound) [i]
- linear OA(3169, 2188, F3, 37) (dual of [2188, 2019, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
- linear OA(31, 15, F3, 1) (dual of [15, 14, 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([0,19]) ⊂ C([0,18]) [i] based on
- discarding factors / shortening the dual code based on linear OA(3184, 2203, F3, 39) (dual of [2203, 2019, 40]-code), using
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.
Other Results with Identical Parameters
None.
Depending Results
None.