Information on Result #613973
Linear OA(5136, 3125, F5, 34) (dual of [3125, 2989, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34
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(5136, 2819, F5, 2, 34) (dual of [(2819, 2), 5502, 35]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5136, 2819, F5, 3, 34) (dual of [(2819, 3), 8321, 35]-NRT-code) | [i] | ||
| 3 | Digital (102, 136, 2819)-net over F5 | [i] | ||
| 4 | Linear OA(5142, 3131, F5, 36) (dual of [3131, 2989, 37]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(5136, 3130, F5, 34) (dual of [3130, 2994, 35]-code) | [i] | ✔ | |
| 6 | Linear OA(5149, 3138, F5, 37) (dual of [3138, 2989, 38]-code) | [i] | ✔ | |
| 7 | Linear OA(5137, 3136, F5, 34) (dual of [3136, 2999, 35]-code) | [i] | ✔ | |
| 8 | Linear OA(5139, 3143, F5, 34) (dual of [3143, 3004, 35]-code) | [i] | ✔ | |
| 9 | Linear OA(5143, 3151, F5, 34) (dual of [3151, 3008, 35]-code) | [i] | ✔ | |
| 10 | Linear OA(5144, 3153, F5, 34) (dual of [3153, 3009, 35]-code) | [i] | ✔ | |
| 11 | Linear OA(5146, 3160, F5, 34) (dual of [3160, 3014, 35]-code) | [i] | ✔ | |
| 12 | Linear OA(5148, 3167, F5, 34) (dual of [3167, 3019, 35]-code) | [i] | ✔ | |
| 13 | Linear OA(5150, 3174, F5, 34) (dual of [3174, 3024, 35]-code) | [i] | ✔ | |
| 14 | Linear OA(5142, 3151, F5, 34) (dual of [3151, 3009, 35]-code) | [i] | ✔ | |
| 15 | Linear OA(5143, 3153, F5, 34) (dual of [3153, 3010, 35]-code) | [i] | ✔ | |
| 16 | Linear OA(5144, 3158, F5, 34) (dual of [3158, 3014, 35]-code) | [i] | ✔ | |
| 17 | Linear OA(5147, 3166, F5, 34) (dual of [3166, 3019, 35]-code) | [i] | ✔ | |
| 18 | Linear OA(5148, 3133, F5, 37) (dual of [3133, 2985, 38]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 19 | Linear OA(5143, 3133, F5, 36) (dual of [3133, 2990, 37]-code) | [i] | ✔ | |
| 20 | Linear OA(5138, 3138, F5, 34) (dual of [3138, 3000, 35]-code) | [i] | ✔ | |
| 21 | Linear OA(5142, 3148, F5, 34) (dual of [3148, 3006, 35]-code) | [i] | ✔ | |
| 22 | Linear OA(5141, 3146, F5, 34) (dual of [3146, 3005, 35]-code) | [i] | ✔ | |
| 23 | Linear OA(5145, 3155, F5, 34) (dual of [3155, 3010, 35]-code) | [i] | ✔ | |