Information on Result #686473
Linear OA(8136, 262159, F8, 26) (dual of [262159, 262023, 27]-code), using construction X applied to Ce(25) ⊂ Ce(22) based on
- linear OA(8133, 262144, F8, 26) (dual of [262144, 262011, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(8121, 262144, F8, 23) (dual of [262144, 262023, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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(8136, 168310, F8, 2, 26) (dual of [(168310, 2), 336484, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8136, 168310, F8, 3, 26) (dual of [(168310, 3), 504794, 27]-NRT-code) | [i] | ||
| 3 | Digital (110, 136, 168310)-net over F8 | [i] | ||
| 4 | Linear OOA(8136, 131079, F8, 2, 26) (dual of [(131079, 2), 262022, 27]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(8136, 87386, F8, 3, 26) (dual of [(87386, 3), 262022, 27]-NRT-code) | [i] | ||
| 6 | Linear OOA(8136, 20166, F8, 26, 26) (dual of [(20166, 26), 524180, 27]-NRT-code) | [i] | OA Folding and Stacking | |