Information on Result #686478
Linear OA(8104, 262157, F8, 20) (dual of [262157, 262053, 21]-code), using construction X applied to Ce(19) ⊂ Ce(17) based on
- linear OA(8103, 262144, F8, 20) (dual of [262144, 262041, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(891, 262144, F8, 18) (dual of [262144, 262053, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(81, 13, F8, 1) (dual of [13, 12, 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(8104, 158739, F8, 2, 20) (dual of [(158739, 2), 317374, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8104, 158739, F8, 3, 20) (dual of [(158739, 3), 476113, 21]-NRT-code) | [i] | ||
| 3 | Digital (84, 104, 158739)-net over F8 | [i] | ||
| 4 | Linear OOA(8104, 131078, F8, 2, 20) (dual of [(131078, 2), 262052, 21]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(8104, 87385, F8, 3, 20) (dual of [(87385, 3), 262051, 21]-NRT-code) | [i] | ||