Information on Result #621500
Linear OA(8115, 328, F81, 9) (dual of [328, 313, 10]-code), using the BCH-code C(I) with length 328 | 812−1, defining interval I = {1,52,103,…,81}, and designed minimum distance d ≥ |I|+1 = 10
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(8114, 327, F81, 8) (dual of [327, 313, 9]-code) | [i] | Truncation | |
| 2 | Linear OA(8152, 6890, F81, 19) (dual of [6890, 6838, 20]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(8170, 531770, F81, 19) (dual of [531770, 531700, 20]-code) | [i] | ||
| 4 | Linear OA(8150, 6889, F81, 18) (dual of [6889, 6839, 19]-code) | [i] | ||
| 5 | Linear OA(8167, 531769, F81, 18) (dual of [531769, 531702, 19]-code) | [i] | ||
| 6 | Linear OA(8152, 6891, F81, 19) (dual of [6891, 6839, 20]-code) | [i] | ||
| 7 | Linear OA(8153, 6895, F81, 19) (dual of [6895, 6842, 20]-code) | [i] | ||
| 8 | Linear OA(8170, 531772, F81, 19) (dual of [531772, 531702, 20]-code) | [i] | ||
| 9 | Linear OA(8171, 531777, F81, 19) (dual of [531777, 531706, 20]-code) | [i] | ||
| 10 | Linear OA(8150, 6891, F81, 18) (dual of [6891, 6841, 19]-code) | [i] | ||
| 11 | Linear OA(8167, 531772, F81, 18) (dual of [531772, 531705, 19]-code) | [i] | ||
| 12 | Linear OA(8168, 531776, F81, 18) (dual of [531776, 531708, 19]-code) | [i] | ||
| 13 | Linear OOA(8115, 275, F81, 2, 9) (dual of [(275, 2), 535, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 14 | Linear OOA(8115, 275, F81, 3, 9) (dual of [(275, 3), 810, 10]-NRT-code) | [i] | ||
| 15 | Linear OOA(8115, 275, F81, 4, 9) (dual of [(275, 4), 1085, 10]-NRT-code) | [i] | ||
| 16 | Digital (6, 15, 275)-net over F81 | [i] | ||
| 17 | Linear OA(8116, 350, F81, 9) (dual of [350, 334, 10]-code) | [i] | Varšamov–Edel Lengthening | |
| 18 | Linear OOA(8115, 164, F81, 2, 9) (dual of [(164, 2), 313, 10]-NRT-code) | [i] | OOA Folding | |
| 19 | Linear OOA(8115, 109, F81, 3, 9) (dual of [(109, 3), 312, 10]-NRT-code) | [i] | ||