Information on Result #1728378
Digital (64, 86, 2039)-net over F8, using net defined by OOA based on linear OOA(886, 2039, F8, 27, 22) (dual of [(2039, 27), 54967, 23]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(886, 8157, F8, 3, 22) (dual of [(8157, 3), 24385, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(886, 8160, F8, 3, 22) (dual of [(8160, 3), 24394, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(886, 8160, F8, 22) (dual of [8160, 8074, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(886, 8192, F8, 22) (dual of [8192, 8106, 23]-code), using
- trace code [i] based on linear OA(6443, 4096, F64, 22) (dual of [4096, 4053, 23]-code), using
- an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- trace code [i] based on linear OA(6443, 4096, F64, 22) (dual of [4096, 4053, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(886, 8192, F8, 22) (dual of [8192, 8106, 23]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(886, 8160, F8, 22) (dual of [8160, 8074, 23]-code), using
- discarding factors / shortening the dual code based on linear OOA(886, 8160, F8, 3, 22) (dual of [(8160, 3), 24394, 23]-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.