Information on Result #1762746
Digital (105, 119, 531446)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3119, 531446, F3, 3, 14) (dual of [(531446, 3), 1594219, 15]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3119, 1594338, F3, 14) (dual of [1594338, 1594219, 15]-code), using
- construction X4 applied to C([0,13]) ⊂ C([1,12]) [i] based on
- linear OA(3118, 1594322, F3, 14) (dual of [1594322, 1594204, 15]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(3104, 1594322, F3, 12) (dual of [1594322, 1594218, 13]-code), using the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(315, 16, F3, 15) (dual of [16, 1, 16]-code or 16-arc in PG(14,3)), using
- dual of repetition code with length 16 [i]
- linear OA(31, 16, F3, 1) (dual of [16, 15, 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 X4 applied to C([0,13]) ⊂ C([1,12]) [i] based on
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 (106, 120, 531446)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (107, 121, 531446)-net over F3 | [i] | ||