Information on Result #815019
Linear OOA(3211, 29550, F3, 2, 30) (dual of [(29550, 2), 58889, 31]-NRT-code), using OOA 2-folding based on linear OA(3211, 59100, F3, 30) (dual of [59100, 58889, 31]-code), using
- 1 times truncation [i] based on linear OA(3212, 59101, F3, 31) (dual of [59101, 58889, 32]-code), using
- construction X applied to C([0,15]) ⊂ C([0,12]) [i] based on
- linear OA(3201, 59050, F3, 31) (dual of [59050, 58849, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 320−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- linear OA(3161, 59050, F3, 25) (dual of [59050, 58889, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 320−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(311, 51, F3, 5) (dual of [51, 40, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 85, F3, 5) (dual of [85, 74, 6]-code), using
- construction X applied to C([0,15]) ⊂ C([0,12]) [i] based on
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(3215, 29552, F3, 2, 30) (dual of [(29552, 2), 58889, 31]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3211, 26930, F3, 3, 30) (dual of [(26930, 3), 80579, 31]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(3211, 26930, F3, 4, 30) (dual of [(26930, 4), 107509, 31]-NRT-code) | [i] | ||
| 4 | Linear OOA(3211, 26930, F3, 5, 30) (dual of [(26930, 5), 134439, 31]-NRT-code) | [i] | ||
| 5 | Digital (181, 211, 26930)-net over F3 | [i] | ||