Information on Result #1210569
Digital (233, 249, 4456454)-net over F4, using (u, u+v)-construction based on
- digital (57, 65, 262154)-net over F4, using
- (u, u+v)-construction [i] based on
- digital (1, 5, 10)-net over F4, using
- digital (52, 60, 262144)-net over F4, using
- net defined by OOA [i] based on linear OOA(460, 262144, F4, 8, 8) (dual of [(262144, 8), 2097092, 9]-NRT-code), using
- OA 4-folding and stacking [i] based on linear OA(460, 1048576, F4, 8) (dual of [1048576, 1048516, 9]-code), using
- 1 times truncation [i] based on linear OA(461, 1048577, F4, 9) (dual of [1048577, 1048516, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 1048577 | 420−1, 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(461, 1048577, F4, 9) (dual of [1048577, 1048516, 10]-code), using
- OA 4-folding and stacking [i] based on linear OA(460, 1048576, F4, 8) (dual of [1048576, 1048516, 9]-code), using
- net defined by OOA [i] based on linear OOA(460, 262144, F4, 8, 8) (dual of [(262144, 8), 2097092, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- digital (168, 184, 4194300)-net over F4, using
- trace code for nets [i] based on digital (76, 92, 2097150)-net over F16, using
- net defined by OOA [i] based on linear OOA(1692, 2097150, F16, 18, 16) (dual of [(2097150, 18), 37748608, 17]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(1692, 8388601, F16, 2, 16) (dual of [(8388601, 2), 16777110, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1692, 8388602, F16, 2, 16) (dual of [(8388602, 2), 16777112, 17]-NRT-code), using
- trace code [i] based on linear OOA(25646, 4194301, F256, 2, 16) (dual of [(4194301, 2), 8388556, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25646, 8388602, F256, 16) (dual of [8388602, 8388556, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(25646, large, F256, 16) (dual of [large, large−46, 17]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- discarding factors / shortening the dual code based on linear OA(25646, large, F256, 16) (dual of [large, large−46, 17]-code), using
- OOA 2-folding [i] based on linear OA(25646, 8388602, F256, 16) (dual of [8388602, 8388556, 17]-code), using
- trace code [i] based on linear OOA(25646, 4194301, F256, 2, 16) (dual of [(4194301, 2), 8388556, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1692, 8388602, F16, 2, 16) (dual of [(8388602, 2), 16777112, 17]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(1692, 8388601, F16, 2, 16) (dual of [(8388601, 2), 16777110, 17]-NRT-code), using
- net defined by OOA [i] based on linear OOA(1692, 2097150, F16, 18, 16) (dual of [(2097150, 18), 37748608, 17]-NRT-code), using
- trace code for nets [i] based on digital (76, 92, 2097150)-net over F16, 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.