Information on Result #677310
Linear OA(361, 263, F3, 17) (dual of [263, 202, 18]-code), using construction X applied to Ce(16) ⊂ Ce(12) based on
- linear OA(356, 243, F3, 17) (dual of [243, 187, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(341, 243, F3, 13) (dual of [243, 202, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(35, 20, F3, 3) (dual of [20, 15, 4]-code or 20-cap in PG(4,3)), 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(361, 248, F3, 2, 17) (dual of [(248, 2), 435, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(361, 248, F3, 3, 17) (dual of [(248, 3), 683, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(361, 248, F3, 4, 17) (dual of [(248, 4), 931, 18]-NRT-code) | [i] | ||
| 4 | Linear OOA(361, 248, F3, 5, 17) (dual of [(248, 5), 1179, 18]-NRT-code) | [i] | ||
| 5 | Digital (44, 61, 248)-net over F3 | [i] | ||