Information on Result #2233923
Linear OA(3154, 2186, F3, 33) (dual of [2186, 2032, 34]-code), using 1 times truncation based on linear OA(3155, 2187, F3, 34) (dual of [2187, 2032, 35]-code), using
- an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
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(3154, 1377, F3, 2, 33) (dual of [(1377, 2), 2600, 34]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3154, 1377, F3, 3, 33) (dual of [(1377, 3), 3977, 34]-NRT-code) | [i] | ||
| 3 | Linear OOA(3154, 1377, F3, 4, 33) (dual of [(1377, 4), 5354, 34]-NRT-code) | [i] | ||
| 4 | Linear OOA(3154, 1377, F3, 5, 33) (dual of [(1377, 5), 6731, 34]-NRT-code) | [i] | ||
| 5 | Digital (121, 154, 1377)-net over F3 | [i] | ||
| 6 | Linear OA(3166, 2238, F3, 33) (dual of [2238, 2072, 34]-code) | [i] | Varšamov–Edel Lengthening | |
| 7 | Linear OA(3167, 2254, F3, 33) (dual of [2254, 2087, 34]-code) | [i] | ||
| 8 | Linear OA(3168, 2275, F3, 33) (dual of [2275, 2107, 34]-code) | [i] | ||
| 9 | Linear OA(3169, 2302, F3, 33) (dual of [2302, 2133, 34]-code) | [i] | ||
| 10 | Linear OA(3170, 2336, F3, 33) (dual of [2336, 2166, 34]-code) | [i] | ||
| 11 | Linear OA(3171, 2377, F3, 33) (dual of [2377, 2206, 34]-code) | [i] | ||
| 12 | Linear OA(3172, 2428, F3, 33) (dual of [2428, 2256, 34]-code) | [i] | ||
| 13 | Linear OA(3173, 2487, F3, 33) (dual of [2487, 2314, 34]-code) | [i] | ||
| 14 | Linear OA(3174, 2556, F3, 33) (dual of [2556, 2382, 34]-code) | [i] | ||
| 15 | Linear OOA(3154, 1093, F3, 2, 33) (dual of [(1093, 2), 2032, 34]-NRT-code) | [i] | OOA Folding | |
| 16 | Linear OOA(3154, 728, F3, 3, 33) (dual of [(728, 3), 2030, 34]-NRT-code) | [i] | ||
| 17 | Linear OOA(3154, 546, F3, 4, 33) (dual of [(546, 4), 2030, 34]-NRT-code) | [i] | ||
| 18 | Linear OOA(3154, 437, F3, 5, 33) (dual of [(437, 5), 2031, 34]-NRT-code) | [i] | ||