Information on Result #614931
Linear OA(885, 262145, F8, 17) (dual of [262145, 262060, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 812−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound)
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(884, 262144, F8, 16) (dual of [262144, 262060, 17]-code) | [i] | Truncation | |
| 2 | Linear OA(894, 262159, F8, 17) (dual of [262159, 262065, 18]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(895, 262162, F8, 17) (dual of [262162, 262067, 18]-code) | [i] | ||
| 4 | Linear OA(896, 262169, F8, 17) (dual of [262169, 262073, 18]-code) | [i] | ||
| 5 | Linear OA(897, 262171, F8, 17) (dual of [262171, 262074, 18]-code) | [i] | ||
| 6 | Linear OA(897, 262159, F8, 17) (dual of [262159, 262062, 18]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 7 | Linear OA(893, 262154, F8, 17) (dual of [262154, 262061, 18]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 8 | Linear OA(898, 262158, F8, 19) (dual of [262158, 262060, 20]-code) | [i] | ✔ | |
| 9 | Linear OA(888, 262155, F8, 17) (dual of [262155, 262067, 18]-code) | [i] | ✔ | |
| 10 | Linear OA(889, 262161, F8, 17) (dual of [262161, 262072, 18]-code) | [i] | ✔ | |
| 11 | Linear OA(8113, 262173, F8, 21) (dual of [262173, 262060, 22]-code) | [i] | ✔ | |
| 12 | Linear OA(892, 262176, F8, 17) (dual of [262176, 262084, 18]-code) | [i] | ✔ | |
| 13 | Linear OA(8128, 262188, F8, 23) (dual of [262188, 262060, 24]-code) | [i] | ✔ | |
| 14 | Linear OOA(885, 32768, F8, 17, 17) (dual of [(32768, 17), 556971, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |