Information on Result #952396
Linear OOA(3119, 531446, F3, 3, 14) (dual of [(531446, 3), 1594219, 15]-NRT-code), using OOA 3-folding 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
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3120, 531446, F3, 3, 14) (dual of [(531446, 3), 1594218, 15]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3121, 531446, F3, 3, 14) (dual of [(531446, 3), 1594217, 15]-NRT-code) | [i] | ||
| 3 | Linear OOA(3119, 531446, F3, 4, 14) (dual of [(531446, 4), 2125665, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(3119, 531446, F3, 5, 14) (dual of [(531446, 5), 2657111, 15]-NRT-code) | [i] | ||
| 5 | Digital (105, 119, 531446)-net over F3 | [i] | ||