Information on Result #3249997
Digital (93, 104, 209719)-net over F2, using 22 times duplication based on digital (91, 102, 209719)-net over F2, using
- net defined by OOA [i] based on linear OOA(2102, 209719, F2, 11, 11) (dual of [(209719, 11), 2306807, 12]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(2102, 1048596, F2, 11) (dual of [1048596, 1048494, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(2102, 1048597, F2, 11) (dual of [1048597, 1048495, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(8) [i] based on
- linear OA(2101, 1048576, F2, 11) (dual of [1048576, 1048475, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 220−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(281, 1048576, F2, 9) (dual of [1048576, 1048495, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 220−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [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(10) ⊂ Ce(8) [i] based on
- discarding factors / shortening the dual code based on linear OA(2102, 1048597, F2, 11) (dual of [1048597, 1048495, 12]-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(2102, 1048596, F2, 11) (dual of [1048596, 1048494, 12]-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.