Information on Result #2874217
Linear OOA(3189, 1678269, F3, 5, 16) (dual of [(1678269, 5), 8391156, 17]-NRT-code), using 31 times duplication based on linear OOA(3188, 1678269, F3, 5, 16) (dual of [(1678269, 5), 8391157, 17]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(337, 549, F3, 5, 8) (dual of [(549, 5), 2708, 9]-NRT-code), using
- OA 4-folding and stacking [i] based on linear OA(337, 2196, F3, 8) (dual of [2196, 2159, 9]-code), using
- construction X4 applied to C([0,7]) ⊂ C([1,6]) [i] based on
- linear OA(336, 2186, F3, 8) (dual of [2186, 2150, 9]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(328, 2186, F3, 6) (dual of [2186, 2158, 7]-code), using 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(39, 10, F3, 9) (dual of [10, 1, 10]-code or 10-arc in PG(8,3)), using
- dual of repetition code with length 10 [i]
- linear OA(31, 10, F3, 1) (dual of [10, 9, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X4 applied to C([0,7]) ⊂ C([1,6]) [i] based on
- OA 4-folding and stacking [i] based on linear OA(337, 2196, F3, 8) (dual of [2196, 2159, 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
- linear OOA(337, 549, F3, 5, 8) (dual of [(549, 5), 2708, 9]-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.