Information on Result #1014510
Linear OOA(8154, 5592420, F8, 3, 14) (dual of [(5592420, 3), 16777106, 15]-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(8104, 2796210, F8, 3, 14) (dual of [(2796210, 3), 8388526, 15]-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(897, 2796201, F8, 3, 14) (dual of [(2796201, 3), 8388506, 15]-NRT-code), using
- OOA 3-folding [i] based on linear OA(897, large, F8, 14) (dual of [large, large−97, 15]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 88−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- OOA 3-folding [i] based on linear OA(897, large, F8, 14) (dual of [large, large−97, 15]-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.