Information on Result #1708676
Digital (171, 183, 4210684)-net over F2, using net defined by OOA based on linear OOA(2183, 4210684, F2, 18, 12) (dual of [(4210684, 18), 75792129, 13]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(2183, 4210685, F2, 6, 12) (dual of [(4210685, 6), 25263927, 13]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2183, 4210685, F2, 2, 12) (dual of [(4210685, 2), 8421187, 13]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2181, 4210684, F2, 2, 12) (dual of [(4210684, 2), 8421187, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(243, 16383, F2, 2, 6) (dual of [(16383, 2), 32723, 7]-NRT-code), using
- linear OOA(2138, 4194301, F2, 2, 12) (dual of [(4194301, 2), 8388464, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2138, 8388602, F2, 12) (dual of [8388602, 8388464, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(2138, large, F2, 12) (dual of [large, large−138, 13]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(2138, large, F2, 12) (dual of [large, large−138, 13]-code), using
- OOA 2-folding [i] based on linear OA(2138, 8388602, F2, 12) (dual of [8388602, 8388464, 13]-code), using
- (u, u+v)-construction [i] based on
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2181, 4210684, F2, 2, 12) (dual of [(4210684, 2), 8421187, 13]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2183, 4210685, F2, 2, 12) (dual of [(4210685, 2), 8421187, 13]-NRT-code), using
Mode: 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.