Information on Result #906788
Linear OOA(2783, 4194385, F27, 2, 15) (dual of [(4194385, 2), 8388687, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2712, 84, F27, 2, 7) (dual of [(84, 2), 156, 8]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(272, 28, F27, 2, 2) (dual of [(28, 2), 54, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;54,27) [i]
- linear OOA(273, 28, F27, 2, 3) (dual of [(28, 2), 53, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;53,27) [i]
- linear OOA(277, 28, F27, 2, 7) (dual of [(28, 2), 49, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;49,27) [i]
- linear OOA(272, 28, F27, 2, 2) (dual of [(28, 2), 54, 3]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(2771, 4194301, F27, 2, 15) (dual of [(4194301, 2), 8388531, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2771, 8388602, F27, 15) (dual of [8388602, 8388531, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(2771, large, F27, 15) (dual of [large, large−71, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 2710−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2771, large, F27, 15) (dual of [large, large−71, 16]-code), using
- OOA 2-folding [i] based on linear OA(2771, 8388602, F27, 15) (dual of [8388602, 8388531, 16]-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.