Information on Result #1714276
Digital (150, 169, 597870)-net over F3, using net defined by OOA based on linear OOA(3169, 597870, F3, 25, 19) (dual of [(597870, 25), 14946581, 20]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3169, 1195741, F3, 5, 19) (dual of [(1195741, 5), 5978536, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3169, 1195742, F3, 5, 19) (dual of [(1195742, 5), 5978541, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3169, 1195742, F3, 4, 19) (dual of [(1195742, 4), 4782799, 20]-NRT-code), using
- OOA 4-folding [i] based on linear OA(3169, 4782968, F3, 19) (dual of [4782968, 4782799, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(3169, 4782969, F3, 19) (dual of [4782969, 4782800, 20]-code), using
- an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- discarding factors / shortening the dual code based on linear OA(3169, 4782969, F3, 19) (dual of [4782969, 4782800, 20]-code), using
- OOA 4-folding [i] based on linear OA(3169, 4782968, F3, 19) (dual of [4782968, 4782799, 20]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3169, 1195742, F3, 4, 19) (dual of [(1195742, 4), 4782799, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3169, 1195742, F3, 5, 19) (dual of [(1195742, 5), 5978541, 20]-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.