Information on Result #686552
Linear OA(892, 262181, F8, 17) (dual of [262181, 262089, 18]-code), using construction X applied to Ce(16) ⊂ Ce(10) based on
- linear OA(885, 262144, F8, 17) (dual of [262144, 262059, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(855, 262144, F8, 11) (dual of [262144, 262089, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(87, 37, F8, 5) (dual of [37, 30, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-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 OA(893, 262182, F8, 17) (dual of [262182, 262089, 18]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(894, 262183, F8, 17) (dual of [262183, 262089, 18]-code) | [i] | ||
| 3 | Linear OA(895, 262184, F8, 17) (dual of [262184, 262089, 18]-code) | [i] | ||
| 4 | Linear OA(891, 262180, F8, 16) (dual of [262180, 262089, 17]-code) | [i] | Truncation | |
| 5 | Linear OOA(892, 262181, F8, 2, 17) (dual of [(262181, 2), 524270, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 6 | Linear OOA(892, 262181, F8, 3, 17) (dual of [(262181, 3), 786451, 18]-NRT-code) | [i] | ||
| 7 | Digital (75, 92, 262181)-net over F8 | [i] | ||
| 8 | Linear OA(893, 262183, F8, 17) (dual of [262183, 262090, 18]-code) | [i] | Construction X with Varšamov Bound | |
| 9 | Linear OA(894, 262185, F8, 17) (dual of [262185, 262091, 18]-code) | [i] | ||
| 10 | Linear OA(895, 262187, F8, 17) (dual of [262187, 262092, 18]-code) | [i] | ||
| 11 | Linear OOA(892, 131090, F8, 2, 17) (dual of [(131090, 2), 262088, 18]-NRT-code) | [i] | OOA Folding | |
| 12 | Linear OOA(892, 87393, F8, 3, 17) (dual of [(87393, 3), 262087, 18]-NRT-code) | [i] | ||
| 13 | Linear OOA(892, 32772, F8, 17, 17) (dual of [(32772, 17), 557032, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |