Information on Result #682869
Linear OA(5111, 3126, F5, 27) (dual of [3126, 3015, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 3126 | 510−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound)
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(5111, 3010, F5, 2, 27) (dual of [(3010, 2), 5909, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5111, 3010, F5, 3, 27) (dual of [(3010, 3), 8919, 28]-NRT-code) | [i] | ||
| 3 | Digital (84, 111, 3010)-net over F5 | [i] | ||
| 4 | Linear OA(5122, 3137, F5, 29) (dual of [3137, 3015, 30]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(5124, 3132, F5, 31) (dual of [3132, 3008, 32]-code) | [i] | ✔ | |
| 6 | Linear OA(5125, 3140, F5, 31) (dual of [3140, 3015, 32]-code) | [i] | ✔ | |
| 7 | Linear OA(5123, 3132, F5, 30) (dual of [3132, 3009, 31]-code) | [i] | ✔ | |
| 8 | Linear OA(5112, 3137, F5, 27) (dual of [3137, 3025, 28]-code) | [i] | ✔ | |
| 9 | Linear OA(5138, 3147, F5, 33) (dual of [3147, 3009, 34]-code) | [i] | ✔ | |
| 10 | Linear OA(5139, 3150, F5, 33) (dual of [3150, 3011, 34]-code) | [i] | ✔ | |
| 11 | Linear OA(5140, 3153, F5, 33) (dual of [3153, 3013, 34]-code) | [i] | ✔ | |
| 12 | Linear OA(5141, 3156, F5, 33) (dual of [3156, 3015, 34]-code) | [i] | ✔ | |
| 13 | Linear OA(5138, 3152, F5, 32) (dual of [3152, 3014, 33]-code) | [i] | ✔ | |
| 14 | Linear OA(5139, 3154, F5, 32) (dual of [3154, 3015, 33]-code) | [i] | ✔ | |
| 15 | Linear OA(5115, 3150, F5, 27) (dual of [3150, 3035, 28]-code) | [i] | ✔ | |
| 16 | Linear OA(5121, 3166, F5, 27) (dual of [3166, 3045, 28]-code) | [i] | ✔ | |
| 17 | Linear OA(5119, 3164, F5, 26) (dual of [3164, 3045, 27]-code) | [i] | ✔ | |
| 18 | Linear OA(5138, 3153, F5, 33) (dual of [3153, 3015, 34]-code) | [i] | ✔ | |
| 19 | Linear OA(5150, 3158, F5, 34) (dual of [3158, 3008, 35]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 20 | Linear OA(5120, 3158, F5, 27) (dual of [3158, 3038, 28]-code) | [i] | ✔ | |
| 21 | Linear OA(5118, 3156, F5, 26) (dual of [3156, 3038, 27]-code) | [i] | ✔ | |