Information on Result #686237
Linear OA(899, 2097152, F8, 17) (dual of [2097152, 2097053, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(8106, 2097159, F8, 18) (dual of [2097159, 2097053, 19]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(8100, 2097160, F8, 17) (dual of [2097160, 2097060, 18]-code) | [i] | ✔ | |
| 3 | Linear OA(8100, 2097167, F8, 16) (dual of [2097167, 2097067, 17]-code) | [i] | ✔ | |
| 4 | Linear OA(8102, 2097169, F8, 17) (dual of [2097169, 2097067, 18]-code) | [i] | ✔ | |
| 5 | Linear OA(8123, 2097176, F8, 20) (dual of [2097176, 2097053, 21]-code) | [i] | ✔ | |
| 6 | Linear OA(8103, 2097177, F8, 17) (dual of [2097177, 2097074, 18]-code) | [i] | ✔ | |
| 7 | Linear OA(8105, 2097186, F8, 17) (dual of [2097186, 2097081, 18]-code) | [i] | ✔ | |
| 8 | Linear OA(8103, 2097184, F8, 16) (dual of [2097184, 2097081, 17]-code) | [i] | ✔ | |
| 9 | Linear OA(8140, 2097193, F8, 22) (dual of [2097193, 2097053, 23]-code) | [i] | ✔ | |
| 10 | Linear OA(8106, 2097194, F8, 17) (dual of [2097194, 2097088, 18]-code) | [i] | ✔ | |
| 11 | Linear OA(8110, 2097205, F8, 17) (dual of [2097205, 2097095, 18]-code) | [i] | ✔ | |
| 12 | Linear OA(8106, 2097201, F8, 16) (dual of [2097201, 2097095, 17]-code) | [i] | ✔ | |
| 13 | Linear OA(8161, 2097214, F8, 25) (dual of [2097214, 2097053, 26]-code) | [i] | ✔ | |
| 14 | Linear OA(8159, 2097212, F8, 24) (dual of [2097212, 2097053, 25]-code) | [i] | ✔ | |
| 15 | Linear OA(8112, 2097214, F8, 17) (dual of [2097214, 2097102, 18]-code) | [i] | ✔ | |
| 16 | Linear OA(8110, 2097212, F8, 16) (dual of [2097212, 2097102, 17]-code) | [i] | ✔ | |
| 17 | Linear OA(8170, 2097217, F8, 26) (dual of [2097217, 2097047, 27]-code) | [i] | ✔ | |
| 18 | Linear OA(8171, 2097224, F8, 26) (dual of [2097224, 2097053, 27]-code) | [i] | ✔ | |
| 19 | Linear OA(8170, 2097219, F8, 26) (dual of [2097219, 2097049, 27]-code) | [i] | ✔ | |
| 20 | Linear OA(8109, 2097204, F8, 17) (dual of [2097204, 2097095, 18]-code) | [i] | ✔ | |
| 21 | Linear OA(8160, 2097213, F8, 25) (dual of [2097213, 2097053, 26]-code) | [i] | ✔ | |
| 22 | Linear OA(8111, 2097213, F8, 17) (dual of [2097213, 2097102, 18]-code) | [i] | ✔ | |
| 23 | Linear OA(8170, 2097223, F8, 26) (dual of [2097223, 2097053, 27]-code) | [i] | ✔ | |
| 24 | Linear OA(8122, 2097169, F8, 20) (dual of [2097169, 2097047, 21]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 25 | Linear OA(8125, 2097179, F8, 20) (dual of [2097179, 2097054, 21]-code) | [i] | ✔ | |
| 26 | Linear OA(8108, 2097162, F8, 18) (dual of [2097162, 2097054, 19]-code) | [i] | ✔ | |
| 27 | Linear OA(8101, 2097162, F8, 17) (dual of [2097162, 2097061, 18]-code) | [i] | ✔ | |
| 28 | Linear OA(8101, 2097169, F8, 16) (dual of [2097169, 2097068, 17]-code) | [i] | ✔ | |
| 29 | Linear OA(8104, 2097179, F8, 17) (dual of [2097179, 2097075, 18]-code) | [i] | ✔ | |
| 30 | Linear OOA(899, 1048576, F8, 2, 17) (dual of [(1048576, 2), 2097053, 18]-NRT-code) | [i] | OOA Folding | |