Information on Result #686524
Linear OA(8139, 262174, F8, 26) (dual of [262174, 262035, 27]-code), using construction X applied to Ce(25) ⊂ Ce(20) 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(8109, 262144, F8, 21) (dual of [262144, 262035, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(86, 30, F8, 4) (dual of [30, 24, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(86, 56, F8, 4) (dual of [56, 50, 5]-code), using
- 1 times truncation [i] based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(86, 56, F8, 4) (dual of [56, 50, 5]-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(8139, 218275, F8, 2, 26) (dual of [(218275, 2), 436411, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8139, 218275, F8, 3, 26) (dual of [(218275, 3), 654686, 27]-NRT-code) | [i] | ||
| 3 | Digital (113, 139, 218275)-net over F8 | [i] | ||
| 4 | Linear OOA(8139, 131087, F8, 2, 26) (dual of [(131087, 2), 262035, 27]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(8139, 87391, F8, 3, 26) (dual of [(87391, 3), 262034, 27]-NRT-code) | [i] | ||
| 6 | Linear OOA(8139, 20167, F8, 26, 26) (dual of [(20167, 26), 524203, 27]-NRT-code) | [i] | OA Folding and Stacking | |