Information on Result #1117676
Linear OOA(3206, 1692488, F3, 5, 16) (dual of [(1692488, 5), 8462234, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(355, 14768, F3, 5, 8) (dual of [(14768, 5), 73785, 9]-NRT-code), using
- OA 4-folding and stacking [i] based on linear OA(355, 59072, F3, 8) (dual of [59072, 59017, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(355, 59073, F3, 8) (dual of [59073, 59018, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(4) [i] based on
- linear OA(351, 59049, F3, 8) (dual of [59049, 58998, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(331, 59049, F3, 5) (dual of [59049, 59018, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(34, 24, F3, 2) (dual of [24, 20, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- construction X applied to Ce(7) ⊂ Ce(4) [i] based on
- discarding factors / shortening the dual code based on linear OA(355, 59073, F3, 8) (dual of [59073, 59018, 9]-code), using
- OA 4-folding and stacking [i] based on linear OA(355, 59072, F3, 8) (dual of [59072, 59017, 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.