Information on Result #2702702
Linear OOA(989, 354299, F9, 3, 15) (dual of [(354299, 3), 1062808, 16]-NRT-code), using 91 times duplication based on linear OOA(988, 354299, F9, 3, 15) (dual of [(354299, 3), 1062809, 16]-NRT-code), using
- OOA 3-folding [i] based on linear OA(988, 1062897, F9, 15) (dual of [1062897, 1062809, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(988, 1062898, F9, 15) (dual of [1062898, 1062810, 16]-code), using
- trace code [i] based on linear OA(8144, 531449, F81, 15) (dual of [531449, 531405, 16]-code), using
- construction X applied to C([0,7]) ⊂ C([0,6]) [i] based on
- linear OA(8143, 531442, F81, 15) (dual of [531442, 531399, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 816−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(8137, 531442, F81, 13) (dual of [531442, 531405, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 816−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(811, 7, F81, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(811, s, F81, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,7]) ⊂ C([0,6]) [i] based on
- trace code [i] based on linear OA(8144, 531449, F81, 15) (dual of [531449, 531405, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(988, 1062898, F9, 15) (dual of [1062898, 1062810, 16]-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.