Information on Result #1206191
Digital (244, 260, 1179647)-net over F2, using (u, u+v)-construction based on
- digital (68, 76, 131072)-net over F2, using
- net defined by OOA [i] based on linear OOA(276, 131072, F2, 8, 8) (dual of [(131072, 8), 1048500, 9]-NRT-code), using
- OA 4-folding and stacking [i] based on linear OA(276, 524288, F2, 8) (dual of [524288, 524212, 9]-code), using
- 1 times truncation [i] based on linear OA(277, 524289, F2, 9) (dual of [524289, 524212, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 524289 | 238−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(277, 524289, F2, 9) (dual of [524289, 524212, 10]-code), using
- OA 4-folding and stacking [i] based on linear OA(276, 524288, F2, 8) (dual of [524288, 524212, 9]-code), using
- net defined by OOA [i] based on linear OOA(276, 131072, F2, 8, 8) (dual of [(131072, 8), 1048500, 9]-NRT-code), using
- digital (168, 184, 1048575)-net over F2, using
- net defined by OOA [i] based on linear OOA(2184, 1048575, F2, 16, 16) (dual of [(1048575, 16), 16777016, 17]-NRT-code), using
- OA 8-folding and stacking [i] based on linear OA(2184, 8388600, F2, 16) (dual of [8388600, 8388416, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(2184, large, F2, 16) (dual of [large, large−184, 17]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- discarding factors / shortening the dual code based on linear OA(2184, large, F2, 16) (dual of [large, large−184, 17]-code), using
- OA 8-folding and stacking [i] based on linear OA(2184, 8388600, F2, 16) (dual of [8388600, 8388416, 17]-code), using
- net defined by OOA [i] based on linear OOA(2184, 1048575, F2, 16, 16) (dual of [(1048575, 16), 16777016, 17]-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.