Information on Result #1708834
Digital (108, 121, 209714)-net over F2, using net defined by OOA based on linear OOA(2121, 209714, F2, 18, 13) (dual of [(209714, 18), 3774731, 14]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(2121, 209715, F2, 6, 13) (dual of [(209715, 6), 1258169, 14]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2121, 209715, F2, 5, 13) (dual of [(209715, 5), 1048454, 14]-NRT-code), using
- OOA 5-folding [i] based on linear OA(2121, 1048575, F2, 13) (dual of [1048575, 1048454, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(2121, 1048576, F2, 13) (dual of [1048576, 1048455, 14]-code), using
- an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 220−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(2121, 1048576, F2, 13) (dual of [1048576, 1048455, 14]-code), using
- OOA 5-folding [i] based on linear OA(2121, 1048575, F2, 13) (dual of [1048575, 1048454, 14]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2121, 209715, F2, 5, 13) (dual of [(209715, 5), 1048454, 14]-NRT-code), using
Mode: 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.