Information on Result #1010728
Linear OOA(3208, 5592413, F3, 3, 14) (dual of [(5592413, 3), 16777031, 15]-NRT-code), using (u, u+v)-construction based on
- linear OOA(364, 2796205, F3, 3, 7) (dual of [(2796205, 3), 8388551, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(33, 4, F3, 3, 3) (dual of [(4, 3), 9, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;9,3) [i]
- linear OOA(361, 2796201, F3, 3, 7) (dual of [(2796201, 3), 8388542, 8]-NRT-code), using
- OOA 3-folding [i] based on linear OA(361, large, F3, 7) (dual of [large, large−61, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 330−1, 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(361, large, F3, 7) (dual of [large, large−61, 8]-code), using
- linear OOA(33, 4, F3, 3, 3) (dual of [(4, 3), 9, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(3144, 2796208, F3, 3, 14) (dual of [(2796208, 3), 8388480, 15]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(38, 7, F3, 3, 7) (dual of [(7, 3), 13, 8]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,13P) [i] based on function field F/F3 with g(F) = 1 and N(F) ≥ 7, using
- linear OOA(3136, 2796201, F3, 3, 14) (dual of [(2796201, 3), 8388467, 15]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3136, large, F3, 14) (dual of [large, large−136, 15]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- OOA 3-folding [i] based on linear OA(3136, large, F3, 14) (dual of [large, large−136, 15]-code), using
- linear OOA(38, 7, F3, 3, 7) (dual of [(7, 3), 13, 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.