Information on Result #1191258
Digital (52, 61, 2097154)-net over F8, using net defined by OOA based on linear OOA(861, 2097154, F8, 10, 9) (dual of [(2097154, 10), 20971479, 10]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(861, 4194309, F8, 2, 9) (dual of [(4194309, 2), 8388557, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(861, 4194310, F8, 2, 9) (dual of [(4194310, 2), 8388559, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(84, 9, F8, 2, 4) (dual of [(9, 2), 14, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;14,8) [i]
- linear OOA(857, 4194301, F8, 2, 9) (dual of [(4194301, 2), 8388545, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(857, 8388602, F8, 9) (dual of [8388602, 8388545, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(857, large, F8, 9) (dual of [large, large−57, 10]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 88−1, defining interval I = [0,8], and designed minimum distance d ≥ |I|+1 = 10 [i]
- discarding factors / shortening the dual code based on linear OA(857, large, F8, 9) (dual of [large, large−57, 10]-code), using
- OOA 2-folding [i] based on linear OA(857, 8388602, F8, 9) (dual of [8388602, 8388545, 10]-code), using
- linear OOA(84, 9, F8, 2, 4) (dual of [(9, 2), 14, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(861, 4194310, F8, 2, 9) (dual of [(4194310, 2), 8388559, 10]-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, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.