Information on Result #903202
Linear OOA(4954, 5764912, F49, 2, 9) (dual of [(5764912, 2), 11529770, 10]-NRT-code), using (u, u+v)-construction based on
- linear OOA(4916, 4194301, F49, 2, 4) (dual of [(4194301, 2), 8388586, 5]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4916, 8388602, F49, 4) (dual of [8388602, 8388586, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(4916, large, F49, 4) (dual of [large, large−16, 5]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 25679568 | 495−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(4916, large, F49, 4) (dual of [large, large−16, 5]-code), using
- OOA 2-folding [i] based on linear OA(4916, 8388602, F49, 4) (dual of [8388602, 8388586, 5]-code), using
- linear OOA(4938, 2882456, F49, 2, 9) (dual of [(2882456, 2), 5764874, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(494, 50, F49, 2, 4) (dual of [(50, 2), 96, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;96,49) [i]
- linear OOA(4934, 2882406, F49, 2, 9) (dual of [(2882406, 2), 5764778, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4934, 5764812, F49, 9) (dual of [5764812, 5764778, 10]-code), using
- construction X4 applied to C([0,4]) ⊂ C([0,3]) [i] based on
- linear OA(4933, 5764802, F49, 9) (dual of [5764802, 5764769, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 5764802 | 498−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(4925, 5764802, F49, 7) (dual of [5764802, 5764777, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 5764802 | 498−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(499, 10, F49, 9) (dual of [10, 1, 10]-code or 10-arc in PG(8,49)), using
- dual of repetition code with length 10 [i]
- linear OA(491, 10, F49, 1) (dual of [10, 9, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(491, 49, F49, 1) (dual of [49, 48, 2]-code), using
- Reed–Solomon code RS(48,49) [i]
- discarding factors / shortening the dual code based on linear OA(491, 49, F49, 1) (dual of [49, 48, 2]-code), using
- construction X4 applied to C([0,4]) ⊂ C([0,3]) [i] based on
- OOA 2-folding [i] based on linear OA(4934, 5764812, F49, 9) (dual of [5764812, 5764778, 10]-code), using
- linear OOA(494, 50, F49, 2, 4) (dual of [(50, 2), 96, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.