Information on Result #2677467
Linear OOA(3196, 531462, F3, 3, 22) (dual of [(531462, 3), 1594190, 23]-NRT-code), using 32 times duplication based on linear OOA(3194, 531462, F3, 3, 22) (dual of [(531462, 3), 1594192, 23]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3194, 1594386, F3, 22) (dual of [1594386, 1594192, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(15) [i] based on
- linear OA(3183, 1594323, F3, 22) (dual of [1594323, 1594140, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(3131, 1594323, F3, 16) (dual of [1594323, 1594192, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(311, 63, F3, 5) (dual of [63, 52, 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 Ce(21) ⊂ Ce(15) [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(3196, 493043, F3, 4, 22) (dual of [(493043, 4), 1971976, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3196, 493043, F3, 5, 22) (dual of [(493043, 5), 2465019, 23]-NRT-code) | [i] | ||
| 3 | Digital (174, 196, 493043)-net over F3 | [i] | ||