Information on Result #3250459
Digital (147, 163, 131074)-net over F2, using 21 times duplication based on digital (146, 162, 131074)-net over F2, using
- t-expansion [i] based on digital (145, 162, 131074)-net over F2, using
- net defined by OOA [i] based on linear OOA(2162, 131074, F2, 17, 17) (dual of [(131074, 17), 2228096, 18]-NRT-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(2162, 1048593, F2, 17) (dual of [1048593, 1048431, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(2162, 1048597, F2, 17) (dual of [1048597, 1048435, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(14) [i] based on
- linear OA(2161, 1048576, F2, 17) (dual of [1048576, 1048415, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 220−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(2141, 1048576, F2, 15) (dual of [1048576, 1048435, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 220−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(21, 21, F2, 1) (dual of [21, 20, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(16) ⊂ Ce(14) [i] based on
- discarding factors / shortening the dual code based on linear OA(2162, 1048597, F2, 17) (dual of [1048597, 1048435, 18]-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(2162, 1048593, F2, 17) (dual of [1048593, 1048431, 18]-code), using
- net defined by OOA [i] based on linear OOA(2162, 131074, F2, 17, 17) (dual of [(131074, 17), 2228096, 18]-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.