Information on Result #1014564
Linear OOA(8162, 5592420, F8, 3, 15) (dual of [(5592420, 3), 16777098, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(850, 5592402, F8, 3, 7) (dual of [(5592402, 3), 16777156, 8]-NRT-code), using
- trace code [i] based on linear OOA(6425, 2796201, F64, 3, 7) (dual of [(2796201, 3), 8388578, 8]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6425, large, F64, 7) (dual of [large, large−25, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(6425, large, F64, 7) (dual of [large, large−25, 8]-code), using
- trace code [i] based on linear OOA(6425, 2796201, F64, 3, 7) (dual of [(2796201, 3), 8388578, 8]-NRT-code), using
- linear OOA(8112, 2796210, F8, 3, 15) (dual of [(2796210, 3), 8388518, 16]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(87, 9, F8, 3, 7) (dual of [(9, 3), 20, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;20,8) [i]
- linear OOA(8105, 2796201, F8, 3, 15) (dual of [(2796201, 3), 8388498, 16]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8105, large, F8, 15) (dual of [large, large−105, 16]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 88−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [i]
- OOA 3-folding [i] based on linear OA(8105, large, F8, 15) (dual of [large, large−105, 16]-code), using
- linear OOA(87, 9, F8, 3, 7) (dual of [(9, 3), 20, 8]-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.