Information on Result #1727766
Digital (68, 85, 43690)-net over F8, using net defined by OOA based on linear OOA(885, 43690, F8, 21, 17) (dual of [(43690, 21), 917405, 18]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(885, 131071, F8, 3, 17) (dual of [(131071, 3), 393128, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(885, 131072, F8, 3, 17) (dual of [(131072, 3), 393131, 18]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(885, 131072, F8, 2, 17) (dual of [(131072, 2), 262059, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(885, 262144, F8, 17) (dual of [262144, 262059, 18]-code), using
- an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- OOA 2-folding [i] based on linear OA(885, 262144, F8, 17) (dual of [262144, 262059, 18]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(885, 131072, F8, 2, 17) (dual of [(131072, 2), 262059, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(885, 131072, F8, 3, 17) (dual of [(131072, 3), 393131, 18]-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.