Information on Result #899637
Linear OOA(2591, 4202118, F25, 2, 15) (dual of [(4202118, 2), 8404145, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2520, 7817, F25, 2, 7) (dual of [(7817, 2), 15614, 8]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2520, 15634, F25, 7) (dual of [15634, 15614, 8]-code), using
- construction X4 applied to C([0,3]) ⊂ C([0,2]) [i] based on
- linear OA(2519, 15626, F25, 7) (dual of [15626, 15607, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(2513, 15626, F25, 5) (dual of [15626, 15613, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- linear OA(257, 8, F25, 7) (dual of [8, 1, 8]-code or 8-arc in PG(6,25)), using
- dual of repetition code with length 8 [i]
- linear OA(251, 8, F25, 1) (dual of [8, 7, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, 25, F25, 1) (dual of [25, 24, 2]-code), using
- Reed–Solomon code RS(24,25) [i]
- discarding factors / shortening the dual code based on linear OA(251, 25, F25, 1) (dual of [25, 24, 2]-code), using
- construction X4 applied to C([0,3]) ⊂ C([0,2]) [i] based on
- OOA 2-folding [i] based on linear OA(2520, 15634, F25, 7) (dual of [15634, 15614, 8]-code), using
- linear OOA(2571, 4194301, F25, 2, 15) (dual of [(4194301, 2), 8388531, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2571, 8388602, F25, 15) (dual of [8388602, 8388531, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(2571, large, F25, 15) (dual of [large, large−71, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9765626 | 2510−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2571, large, F25, 15) (dual of [large, large−71, 16]-code), using
- OOA 2-folding [i] based on linear OA(2571, 8388602, F25, 15) (dual of [8388602, 8388531, 16]-code), using
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.