Information on Result #2247223
Linear OA(5100, 3124, F5, 25) (dual of [3124, 3024, 26]-code), using 1 times truncation based on linear OA(5101, 3125, F5, 26) (dual of [3125, 3024, 27]-code), using
- an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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 OA(5115, 3143, F5, 25) (dual of [3143, 3028, 26]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(5116, 3149, F5, 25) (dual of [3149, 3033, 26]-code) | [i] | ||
| 3 | Linear OOA(5100, 2388, F5, 2, 25) (dual of [(2388, 2), 4676, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(5100, 2388, F5, 3, 25) (dual of [(2388, 3), 7064, 26]-NRT-code) | [i] | ||
| 5 | Digital (75, 100, 2388)-net over F5 | [i] | ||
| 6 | Linear OA(5104, 3147, F5, 25) (dual of [3147, 3043, 26]-code) | [i] | Varšamov–Edel Lengthening | |
| 7 | Linear OA(5105, 3174, F5, 25) (dual of [3174, 3069, 26]-code) | [i] | ||
| 8 | Linear OA(5106, 3228, F5, 25) (dual of [3228, 3122, 26]-code) | [i] | ||
| 9 | Linear OA(5107, 3327, F5, 25) (dual of [3327, 3220, 26]-code) | [i] | ||
| 10 | Linear OA(5108, 3483, F5, 25) (dual of [3483, 3375, 26]-code) | [i] | ||
| 11 | Linear OA(5109, 3690, F5, 25) (dual of [3690, 3581, 26]-code) | [i] | ||
| 12 | Linear OA(5110, 3933, F5, 25) (dual of [3933, 3823, 26]-code) | [i] | ||
| 13 | Linear OA(5111, 4201, F5, 25) (dual of [4201, 4090, 26]-code) | [i] | ||
| 14 | Linear OOA(5100, 1562, F5, 2, 25) (dual of [(1562, 2), 3024, 26]-NRT-code) | [i] | OOA Folding | |
| 15 | Linear OOA(5100, 1041, F5, 3, 25) (dual of [(1041, 3), 3023, 26]-NRT-code) | [i] | ||