Information on Result #686539
Linear OA(8169, 262180, F8, 31) (dual of [262180, 262011, 32]-code), using construction X applied to Ce(30) ⊂ Ce(25) based on
- linear OA(8163, 262144, F8, 31) (dual of [262144, 261981, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- 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(86, 36, F8, 4) (dual of [36, 30, 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(8169, 262180, F8, 2, 31) (dual of [(262180, 2), 524191, 32]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8169, 262180, F8, 3, 31) (dual of [(262180, 3), 786371, 32]-NRT-code) | [i] | ||
| 3 | Digital (138, 169, 262180)-net over F8 | [i] | ||
| 4 | Linear OOA(8169, 131090, F8, 2, 31) (dual of [(131090, 2), 262011, 32]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(8169, 87393, F8, 3, 31) (dual of [(87393, 3), 262010, 32]-NRT-code) | [i] | ||