Information on Result #1117664
Linear OOA(3187, 1678268, F3, 5, 16) (dual of [(1678268, 5), 8391153, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(336, 548, F3, 5, 8) (dual of [(548, 5), 2704, 9]-NRT-code), using
- OA 4-folding and stacking [i] based on linear OA(336, 2192, F3, 8) (dual of [2192, 2156, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(336, 2194, F3, 8) (dual of [2194, 2158, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- linear OA(336, 2187, F3, 8) (dual of [2187, 2151, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(329, 2187, F3, 7) (dual of [2187, 2158, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(30, 7, F3, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- discarding factors / shortening the dual code based on linear OA(336, 2194, F3, 8) (dual of [2194, 2158, 9]-code), using
- OA 4-folding and stacking [i] based on linear OA(336, 2192, F3, 8) (dual of [2192, 2156, 9]-code), using
- linear OOA(3151, 1677720, F3, 5, 16) (dual of [(1677720, 5), 8388449, 17]-NRT-code), using
- OOA 5-folding [i] based on linear OA(3151, 8388600, F3, 16) (dual of [8388600, 8388449, 17]-code), using
- discarding factors / shortening the dual code 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]
- discarding factors / shortening the dual code based on linear OA(3151, large, F3, 16) (dual of [large, large−151, 17]-code), using
- OOA 5-folding [i] based on linear OA(3151, 8388600, F3, 16) (dual of [8388600, 8388449, 17]-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.