Information on Result #613875
Linear OA(5101, 3126, F5, 25) (dual of [3126, 3025, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 3126 | 510−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (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 OA(5117, 3151, F5, 25) (dual of [3151, 3034, 26]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(5101, 2563, F5, 2, 25) (dual of [(2563, 2), 5025, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(5101, 2563, F5, 3, 25) (dual of [(2563, 3), 7588, 26]-NRT-code) | [i] | ||
| 4 | Digital (76, 101, 2563)-net over F5 | [i] | ||
| 5 | Linear OA(5113, 3139, F5, 25) (dual of [3139, 3026, 26]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 6 | Linear OA(5112, 3137, F5, 27) (dual of [3137, 3025, 28]-code) | [i] | ✔ | |
| 7 | Linear OA(5102, 3137, F5, 25) (dual of [3137, 3035, 26]-code) | [i] | ✔ | |
| 8 | Linear OA(5128, 3147, F5, 31) (dual of [3147, 3019, 32]-code) | [i] | ✔ | |
| 9 | Linear OA(5129, 3150, F5, 31) (dual of [3150, 3021, 32]-code) | [i] | ✔ | |
| 10 | Linear OA(5130, 3153, F5, 31) (dual of [3153, 3023, 32]-code) | [i] | ✔ | |
| 11 | Linear OA(5131, 3156, F5, 31) (dual of [3156, 3025, 32]-code) | [i] | ✔ | |
| 12 | Linear OA(5128, 3152, F5, 30) (dual of [3152, 3024, 31]-code) | [i] | ✔ | |
| 13 | Linear OA(5129, 3154, F5, 30) (dual of [3154, 3025, 31]-code) | [i] | ✔ | |
| 14 | Linear OA(5125, 3150, F5, 29) (dual of [3150, 3025, 30]-code) | [i] | ✔ | |
| 15 | Linear OA(5105, 3150, F5, 25) (dual of [3150, 3045, 26]-code) | [i] | ✔ | |
| 16 | Linear OA(5145, 3170, F5, 33) (dual of [3170, 3025, 34]-code) | [i] | ✔ | |
| 17 | Linear OA(5143, 3168, F5, 32) (dual of [3168, 3025, 33]-code) | [i] | ✔ | |
| 18 | Linear OA(5115, 3170, F5, 25) (dual of [3170, 3055, 26]-code) | [i] | ✔ | |
| 19 | Linear OA(5113, 3168, F5, 24) (dual of [3168, 3055, 25]-code) | [i] | ✔ | |
| 20 | Linear OA(5128, 3153, F5, 31) (dual of [3153, 3025, 32]-code) | [i] | ✔ | |
| 21 | Linear OA(5130, 3158, F5, 29) (dual of [3158, 3028, 30]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 22 | Linear OA(5128, 3156, F5, 28) (dual of [3156, 3028, 29]-code) | [i] | ✔ | |
| 23 | Linear OA(5114, 3163, F5, 25) (dual of [3163, 3049, 26]-code) | [i] | ✔ | |
| 24 | Linear OA(5112, 3161, F5, 24) (dual of [3161, 3049, 25]-code) | [i] | ✔ | |
| 25 | Linear OA(5112, 3160, F5, 25) (dual of [3160, 3048, 26]-code) | [i] | ✔ | |
| 26 | Linear OA(5110, 3158, F5, 24) (dual of [3158, 3048, 25]-code) | [i] | ✔ | |