Information on Result #1712178
Digital (198, 235, 619)-net over F2, using net defined by OOA based on linear OOA(2235, 619, F2, 42, 37) (dual of [(619, 42), 25763, 38]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(2235, 1858, F2, 6, 37) (dual of [(1858, 6), 10913, 38]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2235, 1859, F2, 6, 37) (dual of [(1859, 6), 10919, 38]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2235, 1859, F2, 4, 37) (dual of [(1859, 4), 7201, 38]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2235, 2048, F2, 4, 37) (dual of [(2048, 4), 7957, 38]-NRT-code), using
- OOA 4-folding [i] based on linear OA(2235, 8192, F2, 37) (dual of [8192, 7957, 38]-code), using
- an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- OOA 4-folding [i] based on linear OA(2235, 8192, F2, 37) (dual of [8192, 7957, 38]-code), using
- discarding factors / shortening the dual code based on linear OOA(2235, 2048, F2, 4, 37) (dual of [(2048, 4), 7957, 38]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2235, 1859, F2, 4, 37) (dual of [(1859, 4), 7201, 38]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2235, 1859, F2, 6, 37) (dual of [(1859, 6), 10919, 38]-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.