Information on Result #1205230
Digital (152, 162, 8388600)-net over F4, using trace code for nets based on digital (44, 54, 2796200)-net over F64, using
- net defined by OOA [i] based on linear OOA(6454, 2796200, F64, 14, 10) (dual of [(2796200, 14), 39146746, 11]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(6454, 8388601, F64, 2, 10) (dual of [(8388601, 2), 16777148, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6454, 8388602, F64, 2, 10) (dual of [(8388602, 2), 16777150, 11]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(6417, 4194301, F64, 2, 5) (dual of [(4194301, 2), 8388585, 6]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6417, 8388602, F64, 5) (dual of [8388602, 8388585, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(6417, large, F64, 5) (dual of [large, large−17, 6]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(6417, large, F64, 5) (dual of [large, large−17, 6]-code), using
- OOA 2-folding [i] based on linear OA(6417, 8388602, F64, 5) (dual of [8388602, 8388585, 6]-code), using
- linear OOA(6437, 4194301, F64, 2, 10) (dual of [(4194301, 2), 8388565, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6437, 8388602, F64, 10) (dual of [8388602, 8388565, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(6437, large, F64, 10) (dual of [large, large−37, 11]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding factors / shortening the dual code based on linear OA(6437, large, F64, 10) (dual of [large, large−37, 11]-code), using
- OOA 2-folding [i] based on linear OA(6437, 8388602, F64, 10) (dual of [8388602, 8388565, 11]-code), using
- linear OOA(6417, 4194301, F64, 2, 5) (dual of [(4194301, 2), 8388585, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(6454, 8388602, F64, 2, 10) (dual of [(8388602, 2), 16777150, 11]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(6454, 8388601, F64, 2, 10) (dual of [(8388601, 2), 16777148, 11]-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.