Information on Result #737092
Linear OA(3176, 2236, F3, 35) (dual of [2236, 2060, 36]-code), using construction X applied to Ce(34) ⊂ Ce(27) based on
- linear OA(3162, 2187, F3, 35) (dual of [2187, 2025, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(3127, 2187, F3, 28) (dual of [2187, 2060, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(314, 49, F3, 6) (dual of [49, 35, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(314, 53, F3, 6) (dual of [53, 39, 7]-code), 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 OA(3177, 2237, F3, 35) (dual of [2237, 2060, 36]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3179, 2239, F3, 35) (dual of [2239, 2060, 36]-code) | [i] | ||
| 3 | Linear OA(3180, 2240, F3, 35) (dual of [2240, 2060, 36]-code) | [i] | ||
| 4 | Linear OA(3181, 2241, F3, 35) (dual of [2241, 2060, 36]-code) | [i] | ||
| 5 | Linear OA(3182, 2242, F3, 35) (dual of [2242, 2060, 36]-code) | [i] | ||
| 6 | Linear OOA(3176, 2200, F3, 2, 35) (dual of [(2200, 2), 4224, 36]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 7 | Linear OOA(3176, 2200, F3, 3, 35) (dual of [(2200, 3), 6424, 36]-NRT-code) | [i] | ||
| 8 | Linear OOA(3176, 2200, F3, 4, 35) (dual of [(2200, 4), 8624, 36]-NRT-code) | [i] | ||
| 9 | Linear OOA(3176, 2200, F3, 5, 35) (dual of [(2200, 5), 10824, 36]-NRT-code) | [i] | ||
| 10 | Digital (141, 176, 2200)-net over F3 | [i] | ||
| 11 | Linear OA(3177, 2238, F3, 35) (dual of [2238, 2061, 36]-code) | [i] | Construction X with Varšamov Bound | |
| 12 | Linear OA(3178, 2240, F3, 35) (dual of [2240, 2062, 36]-code) | [i] | ||
| 13 | Linear OA(3179, 2242, F3, 35) (dual of [2242, 2063, 36]-code) | [i] | ||
| 14 | Linear OOA(3176, 1118, F3, 2, 35) (dual of [(1118, 2), 2060, 36]-NRT-code) | [i] | OOA Folding | |
| 15 | Linear OOA(3176, 745, F3, 3, 35) (dual of [(745, 3), 2059, 36]-NRT-code) | [i] | ||
| 16 | Linear OOA(3176, 559, F3, 4, 35) (dual of [(559, 4), 2060, 36]-NRT-code) | [i] | ||
| 17 | Linear OOA(3176, 447, F3, 5, 35) (dual of [(447, 5), 2059, 36]-NRT-code) | [i] | ||