Information on Result #900440
Linear OOA(2744, 4194680, F27, 2, 8) (dual of [(4194680, 2), 8389316, 9]-NRT-code), using (u, u+v)-construction based on
- linear OOA(278, 379, F27, 2, 4) (dual of [(379, 2), 750, 5]-NRT-code), using
- (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(276, 351, F27, 2, 4) (dual of [(351, 2), 696, 5]-NRT-code), using
- OOA 2-folding [i] based on linear OA(276, 702, F27, 4) (dual of [702, 696, 5]-code), using
- 1 times truncation [i] based on linear OA(277, 703, F27, 5) (dual of [703, 696, 6]-code), using
- OOA 2-folding [i] based on linear OA(276, 702, F27, 4) (dual of [702, 696, 5]-code), using
- linear OOA(272, 28, F27, 2, 2) (dual of [(28, 2), 54, 3]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2736, 4194301, F27, 2, 8) (dual of [(4194301, 2), 8388566, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2736, 8388602, F27, 8) (dual of [8388602, 8388566, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(2736, large, F27, 8) (dual of [large, large−36, 9]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 275−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(2736, large, F27, 8) (dual of [large, large−36, 9]-code), using
- OOA 2-folding [i] based on linear OA(2736, 8388602, F27, 8) (dual of [8388602, 8388566, 9]-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.