Information on Result #944880
Linear OOA(12819, 4194429, F128, 3, 5) (dual of [(4194429, 3), 12583268, 6]-NRT-code), using OOA stacking with additional row based on linear OOA(12819, 4194430, F128, 2, 5) (dual of [(4194430, 2), 8388841, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(1282, 129, F128, 2, 2) (dual of [(129, 2), 256, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;256,128) [i]
- linear OOA(12817, 4194301, F128, 2, 5) (dual of [(4194301, 2), 8388585, 6]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12817, 8388602, F128, 5) (dual of [8388602, 8388585, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(12817, large, F128, 5) (dual of [large, large−17, 6]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 17895697 | 1284−1, defining interval I = [0,4], and designed minimum distance d ≥ |I|+1 = 6 [i]
- discarding factors / shortening the dual code based on linear OA(12817, large, F128, 5) (dual of [large, large−17, 6]-code), using
- OOA 2-folding [i] based on linear OA(12817, 8388602, F128, 5) (dual of [8388602, 8388585, 6]-code), using
- linear OOA(1282, 129, F128, 2, 2) (dual of [(129, 2), 256, 3]-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.