Information on Result #1119278
Linear OOA(3240, 3355543, F3, 5, 16) (dual of [(3355543, 5), 16777475, 17]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(313, 103, F3, 5, 5) (dual of [(103, 5), 502, 6]-NRT-code), using
- appending kth column [i] based on linear OOA(313, 103, F3, 4, 5) (dual of [(103, 4), 399, 6]-NRT-code), using
- extracting embedded OOA [i] based on digital (8, 13, 103)-net over F3, using
- appending kth column [i] based on linear OOA(313, 103, F3, 4, 5) (dual of [(103, 4), 399, 6]-NRT-code), using
- linear OOA(376, 1677720, F3, 5, 8) (dual of [(1677720, 5), 8388524, 9]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(376, 2097150, F3, 5, 8) (dual of [(2097150, 5), 10485674, 9]-NRT-code), using
- OA 4-folding and stacking [i] based on linear OA(376, 8388600, F3, 8) (dual of [8388600, 8388524, 9]-code), using
- discarding factors / shortening the dual code 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]
- discarding factors / shortening the dual code based on linear OA(376, large, F3, 8) (dual of [large, large−76, 9]-code), using
- OA 4-folding and stacking [i] based on linear OA(376, 8388600, F3, 8) (dual of [8388600, 8388524, 9]-code), using
- discarding factors / shortening the dual code based on linear OOA(376, 2097150, F3, 5, 8) (dual of [(2097150, 5), 10485674, 9]-NRT-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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3241, 3355543, F3, 5, 16) (dual of [(3355543, 5), 16777474, 17]-NRT-code) | [i] | OOA Duplication | |