Information on Result #686493
Linear OA(852, 262159, F8, 10) (dual of [262159, 262107, 11]-code), using construction X applied to Ce(9) ⊂ Ce(6) based on
- linear OA(849, 262144, F8, 10) (dual of [262144, 262095, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(837, 262144, F8, 7) (dual of [262144, 262107, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(83, 15, F8, 2) (dual of [15, 12, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(83, 63, F8, 2) (dual of [63, 60, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(83, 63, F8, 2) (dual of [63, 60, 3]-code), 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(852, 262159, F8, 2, 10) (dual of [(262159, 2), 524266, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(852, 262159, F8, 3, 10) (dual of [(262159, 3), 786425, 11]-NRT-code) | [i] | ||
| 3 | Digital (42, 52, 262159)-net over F8 | [i] | ||
| 4 | Linear OOA(852, 131079, F8, 2, 10) (dual of [(131079, 2), 262106, 11]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(852, 87386, F8, 3, 10) (dual of [(87386, 3), 262106, 11]-NRT-code) | [i] | ||
| 6 | Linear OOA(852, 52431, F8, 10, 10) (dual of [(52431, 10), 524258, 11]-NRT-code) | [i] | OA Folding and Stacking | |