Information on Result #1010610
Linear OOA(3163, 5592632, F3, 3, 11) (dual of [(5592632, 3), 16777733, 12]-NRT-code), using (u, u+v)-construction based on
- linear OOA(317, 230, F3, 3, 5) (dual of [(230, 3), 673, 6]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(317, 231, F3, 2, 5) (dual of [(231, 2), 445, 6]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(31, 77, F3, 2, 1) (dual of [(77, 2), 153, 2]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(31, s, F3, 2, 1) for arbitrarily large s, using
- appending 1 arbitrary column [i] based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- discarding factors / shortening the dual code based on linear OOA(31, s, F3, 2, 1) for arbitrarily large s, using
- linear OOA(35, 77, F3, 2, 2) (dual of [(77, 2), 149, 3]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(35, 121, F3, 2, 2) (dual of [(121, 2), 237, 3]-NRT-code), using
- appending kth column [i] based on linear OA(35, 121, F3, 2) (dual of [121, 116, 3]-code), using
- Hamming code H(5,3) [i]
- appending kth column [i] based on linear OA(35, 121, F3, 2) (dual of [121, 116, 3]-code), using
- discarding factors / shortening the dual code based on linear OOA(35, 121, F3, 2, 2) (dual of [(121, 2), 237, 3]-NRT-code), using
- linear OOA(311, 77, F3, 2, 5) (dual of [(77, 2), 143, 6]-NRT-code), using
- extracting embedded OOA [i] based on digital (6, 11, 77)-net over F3, using
- linear OOA(31, 77, F3, 2, 1) (dual of [(77, 2), 153, 2]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- OOA stacking with additional row [i] based on linear OOA(317, 231, F3, 2, 5) (dual of [(231, 2), 445, 6]-NRT-code), using
- linear OOA(3146, 5592402, F3, 3, 11) (dual of [(5592402, 3), 16777060, 12]-NRT-code), using
- trace code [i] based on linear OOA(973, 2796201, F9, 3, 11) (dual of [(2796201, 3), 8388530, 12]-NRT-code), using
- OOA 3-folding [i] based on linear OA(973, large, F9, 11) (dual of [large, large−73, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 98−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [i]
- OOA 3-folding [i] based on linear OA(973, large, F9, 11) (dual of [large, large−73, 12]-code), using
- trace code [i] based on linear OOA(973, 2796201, F9, 3, 11) (dual of [(2796201, 3), 8388530, 12]-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.