Information on Result #686551
Linear OA(898, 262181, F8, 18) (dual of [262181, 262083, 19]-code), using construction X applied to Ce(17) ⊂ Ce(11) based on
- linear OA(891, 262144, F8, 18) (dual of [262144, 262053, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(861, 262144, F8, 12) (dual of [262144, 262083, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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(899, 262182, F8, 18) (dual of [262182, 262083, 19]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(8100, 262183, F8, 18) (dual of [262183, 262083, 19]-code) | [i] | ||
| 3 | Linear OA(8101, 262184, F8, 18) (dual of [262184, 262083, 19]-code) | [i] | ||
| 4 | Linear OOA(898, 262181, F8, 2, 18) (dual of [(262181, 2), 524264, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 5 | Linear OOA(898, 262181, F8, 3, 18) (dual of [(262181, 3), 786445, 19]-NRT-code) | [i] | ||
| 6 | Digital (80, 98, 262181)-net over F8 | [i] | ||
| 7 | Linear OA(899, 262183, F8, 18) (dual of [262183, 262084, 19]-code) | [i] | Construction X with Varšamov Bound | |
| 8 | Linear OA(8100, 262185, F8, 18) (dual of [262185, 262085, 19]-code) | [i] | ||
| 9 | Linear OA(8101, 262187, F8, 18) (dual of [262187, 262086, 19]-code) | [i] | ||
| 10 | Linear OOA(898, 131090, F8, 2, 18) (dual of [(131090, 2), 262082, 19]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(898, 87393, F8, 3, 18) (dual of [(87393, 3), 262081, 19]-NRT-code) | [i] | ||
| 12 | Linear OOA(898, 29131, F8, 18, 18) (dual of [(29131, 18), 524260, 19]-NRT-code) | [i] | OA Folding and Stacking | |