Information on Result #2798950
Linear OOA(3211, 398584, F3, 4, 25) (dual of [(398584, 4), 1594125, 26]-NRT-code), using 31 times duplication based on linear OOA(3210, 398584, F3, 4, 25) (dual of [(398584, 4), 1594126, 26]-NRT-code), using
- OOA 4-folding [i] based on linear OA(3210, 1594336, F3, 25) (dual of [1594336, 1594126, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(3210, 1594337, F3, 25) (dual of [1594337, 1594127, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(22) [i] based on
- linear OA(3209, 1594323, F3, 25) (dual of [1594323, 1594114, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(3196, 1594323, F3, 23) (dual of [1594323, 1594127, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(31, 14, F3, 1) (dual of [14, 13, 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 Ce(24) ⊂ Ce(22) [i] based on
- discarding factors / shortening the dual code based on linear OA(3210, 1594337, F3, 25) (dual of [1594337, 1594127, 26]-code), 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(3211, 360129, F3, 5, 25) (dual of [(360129, 5), 1800434, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (186, 211, 360129)-net over F3 | [i] | ||