Information on Result #686461
Linear OA(825, 262150, F8, 5) (dual of [262150, 262125, 6]-code), using construction X applied to Ce(4) ⊂ Ce(3) based on
- linear OA(825, 262144, F8, 5) (dual of [262144, 262119, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(819, 262144, F8, 4) (dual of [262144, 262125, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(80, 6, F8, 0) (dual of [6, 6, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-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(825, 262150, F8, 2, 5) (dual of [(262150, 2), 524275, 6]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(825, 262150, F8, 3, 5) (dual of [(262150, 3), 786425, 6]-NRT-code) | [i] | ||
| 3 | Digital (20, 25, 262150)-net over F8 | [i] | ||
| 4 | Linear OOA(825, 131075, F8, 2, 5) (dual of [(131075, 2), 262125, 6]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(825, 131074, F8, 3, 5) (dual of [(131074, 3), 393197, 6]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 6 | Linear OOA(825, 131074, F8, 5, 5) (dual of [(131074, 5), 655345, 6]-NRT-code) | [i] | ||