Information on Result #812943
Linear OOA(3106, 797175, F3, 2, 12) (dual of [(797175, 2), 1594244, 13]-NRT-code), using OOA 2-folding based on linear OA(3106, 1594350, F3, 12) (dual of [1594350, 1594244, 13]-code), using
- construction X applied to Ce(12) ⊂ Ce(9) [i] based on
- linear OA(3105, 1594323, F3, 13) (dual of [1594323, 1594218, 14]-code), using an extension Ce(12) of 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(379, 1594323, F3, 10) (dual of [1594323, 1594244, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(31, 27, F3, 1) (dual of [27, 26, 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(3106, 676266, F3, 3, 12) (dual of [(676266, 3), 2028692, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3106, 676266, F3, 4, 12) (dual of [(676266, 4), 2704958, 13]-NRT-code) | [i] | ||
| 3 | Linear OOA(3106, 676266, F3, 5, 12) (dual of [(676266, 5), 3381224, 13]-NRT-code) | [i] | ||
| 4 | Digital (94, 106, 676266)-net over F3 | [i] | ||