Information on Result #1767972
Digital (174, 201, 59057)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3201, 59057, F3, 3, 27) (dual of [(59057, 3), 176970, 28]-NRT-code), using
- 31 times duplication [i] based on linear OOA(3200, 59057, F3, 3, 27) (dual of [(59057, 3), 176971, 28]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3200, 177171, F3, 27) (dual of [177171, 176971, 28]-code), using
- construction X applied to C([0,13]) ⊂ C([0,12]) [i] based on
- linear OA(3199, 177148, F3, 27) (dual of [177148, 176949, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 177148 | 322−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(3177, 177148, F3, 25) (dual of [177148, 176971, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 177148 | 322−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(31, 23, F3, 1) (dual of [23, 22, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,13]) ⊂ C([0,12]) [i] based on
- OOA 3-folding [i] based on linear OA(3200, 177171, F3, 27) (dual of [177171, 176971, 28]-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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (175, 202, 59057)-net over F3 | [i] | Net Duplication | |