Information on Result #1101178
Linear OOA(3233, 2796204, F3, 5, 16) (dual of [(2796204, 5), 13980787, 17]-NRT-code), using OOA 2-folding based on linear OOA(3233, 5592408, F3, 3, 16) (dual of [(5592408, 3), 16776991, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3233, 5592409, F3, 3, 16) (dual of [(5592409, 3), 16776994, 17]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(36, 7, F3, 3, 5) (dual of [(7, 3), 15, 6]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,15P) [i] based on function field F/F3 with g(F) = 1 and N(F) ≥ 7, using
- 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(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
- linear OOA(36, 7, F3, 3, 5) (dual of [(7, 3), 15, 6]-NRT-code), using
- generalized (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.