Information on Result #1209990
Digital (93, 103, 1678236)-net over F4, using (u, u+v)-construction based on
- digital (13, 18, 516)-net over F4, using
- net defined by OOA [i] based on linear OOA(418, 516, F4, 6, 5) (dual of [(516, 6), 3078, 6]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(418, 517, F4, 2, 5) (dual of [(517, 2), 1016, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(42, 5, F4, 2, 2) (dual of [(5, 2), 8, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;8,4) [i]
- linear OOA(416, 512, F4, 2, 5) (dual of [(512, 2), 1008, 6]-NRT-code), using
- OOA 2-folding [i] based on linear OA(416, 1024, F4, 5) (dual of [1024, 1008, 6]-code), using
- an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- OOA 2-folding [i] based on linear OA(416, 1024, F4, 5) (dual of [1024, 1008, 6]-code), using
- linear OOA(42, 5, F4, 2, 2) (dual of [(5, 2), 8, 3]-NRT-code), using
- (u, u+v)-construction [i] based on
- OOA stacking with additional row [i] based on linear OOA(418, 517, F4, 2, 5) (dual of [(517, 2), 1016, 6]-NRT-code), using
- net defined by OOA [i] based on linear OOA(418, 516, F4, 6, 5) (dual of [(516, 6), 3078, 6]-NRT-code), using
- digital (75, 85, 1677720)-net over F4, using
- net defined by OOA [i] based on linear OOA(485, 1677720, F4, 10, 10) (dual of [(1677720, 10), 16777115, 11]-NRT-code), using
- OA 5-folding and stacking [i] based on linear OA(485, 8388600, F4, 10) (dual of [8388600, 8388515, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(485, large, F4, 10) (dual of [large, large−85, 11]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding factors / shortening the dual code based on linear OA(485, large, F4, 10) (dual of [large, large−85, 11]-code), using
- OA 5-folding and stacking [i] based on linear OA(485, 8388600, F4, 10) (dual of [8388600, 8388515, 11]-code), using
- net defined by OOA [i] based on linear OOA(485, 1677720, F4, 10, 10) (dual of [(1677720, 10), 16777115, 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.