Information on Result #1010842
Linear OOA(3237, 5592406, F3, 3, 16) (dual of [(5592406, 3), 16776981, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(380, 2796205, F3, 3, 8) (dual of [(2796205, 3), 8388535, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(34, 4, F3, 3, 4) (dual of [(4, 3), 8, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;8,3) [i]
- linear OOA(376, 2796201, F3, 3, 8) (dual of [(2796201, 3), 8388527, 9]-NRT-code), using
- OOA 3-folding [i] based on linear OA(376, large, F3, 8) (dual of [large, large−76, 9]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- OOA 3-folding [i] based on linear OA(376, large, F3, 8) (dual of [large, large−76, 9]-code), using
- linear OOA(34, 4, F3, 3, 4) (dual of [(4, 3), 8, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(3157, 2796203, F3, 3, 16) (dual of [(2796203, 3), 8388452, 17]-NRT-code), using
- 2 times NRT-code embedding in larger space [i] based on linear OOA(3151, 2796201, F3, 3, 16) (dual of [(2796201, 3), 8388452, 17]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3151, large, F3, 16) (dual of [large, large−151, 17]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- OOA 3-folding [i] based on linear OA(3151, large, F3, 16) (dual of [large, large−151, 17]-code), using
- 2 times NRT-code embedding in larger space [i] based on linear OOA(3151, 2796201, F3, 3, 16) (dual of [(2796201, 3), 8388452, 17]-NRT-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.