Information on Result #2247268
Linear OA(5140, 3124, F5, 35) (dual of [3124, 2984, 36]-code), using 1 times truncation based on linear OA(5141, 3125, F5, 36) (dual of [3125, 2984, 37]-code), using
- an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [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(5140, 2870, F5, 2, 35) (dual of [(2870, 2), 5600, 36]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5140, 2870, F5, 3, 35) (dual of [(2870, 3), 8470, 36]-NRT-code) | [i] | ||
| 3 | Digital (105, 140, 2870)-net over F5 | [i] | ||
| 4 | Linear OA(5143, 3149, F5, 35) (dual of [3149, 3006, 36]-code) | [i] | Varšamov–Edel Lengthening | |
| 5 | Linear OA(5144, 3200, F5, 35) (dual of [3200, 3056, 36]-code) | [i] | ||
| 6 | Linear OA(5145, 3294, F5, 35) (dual of [3294, 3149, 36]-code) | [i] | ||
| 7 | Linear OA(5146, 3425, F5, 35) (dual of [3425, 3279, 36]-code) | [i] | ||
| 8 | Linear OA(5147, 3580, F5, 35) (dual of [3580, 3433, 36]-code) | [i] | ||
| 9 | Linear OA(5148, 3750, F5, 35) (dual of [3750, 3602, 36]-code) | [i] | ||
| 10 | Linear OOA(5140, 1562, F5, 2, 35) (dual of [(1562, 2), 2984, 36]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(5140, 1041, F5, 3, 35) (dual of [(1041, 3), 2983, 36]-NRT-code) | [i] | ||