Information on Result #687232
Linear OA(870, 4105, F8, 20) (dual of [4105, 4035, 21]-code), using construction X applied to Ce(19) ⊂ Ce(17) based on
- linear OA(869, 4096, F8, 20) (dual of [4096, 4027, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(861, 4096, F8, 18) (dual of [4096, 4035, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(81, 9, F8, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
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(870, 3115, F8, 2, 20) (dual of [(3115, 2), 6160, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(870, 3115, F8, 3, 20) (dual of [(3115, 3), 9275, 21]-NRT-code) | [i] | ||
| 3 | Digital (50, 70, 3115)-net over F8 | [i] | ||
| 4 | Linear OOA(870, 2052, F8, 2, 20) (dual of [(2052, 2), 4034, 21]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(870, 1368, F8, 3, 20) (dual of [(1368, 3), 4034, 21]-NRT-code) | [i] | ||