Information on Result #2677011
Linear OOA(3164, 1594340, F3, 3, 17) (dual of [(1594340, 3), 4782856, 18]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(3161, 1594339, F3, 3, 17) (dual of [(1594339, 3), 4782856, 18]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3161, 4783017, F3, 17) (dual of [4783017, 4782856, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(12) [i] based on
- linear OA(3155, 4782969, F3, 17) (dual of [4782969, 4782814, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(3113, 4782969, F3, 13) (dual of [4782969, 4782856, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), using
- construction X applied to Ce(16) ⊂ Ce(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(3165, 1594340, F3, 3, 17) (dual of [(1594340, 3), 4782855, 18]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3164, 1594340, F3, 4, 17) (dual of [(1594340, 4), 6377196, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(3164, 1594340, F3, 5, 17) (dual of [(1594340, 5), 7971536, 18]-NRT-code) | [i] | ||
| 4 | Digital (147, 164, 1594340)-net over F3 | [i] | ||