Information on Result #614934
Linear OA(899, 2097153, F8, 17) (dual of [2097153, 2097054, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 814−1, 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(898, 2097152, F8, 16) (dual of [2097152, 2097054, 17]-code) | [i] | Truncation | |
| 2 | Linear OA(8108, 2097167, F8, 17) (dual of [2097167, 2097059, 18]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(8109, 2097170, F8, 17) (dual of [2097170, 2097061, 18]-code) | [i] | ||
| 4 | Linear OA(8110, 2097177, F8, 17) (dual of [2097177, 2097067, 18]-code) | [i] | ||
| 5 | Linear OA(8111, 2097179, F8, 17) (dual of [2097179, 2097068, 18]-code) | [i] | ||
| 6 | Linear OA(8112, 2097181, F8, 17) (dual of [2097181, 2097069, 18]-code) | [i] | ||
| 7 | Linear OA(8111, 2097167, F8, 17) (dual of [2097167, 2097056, 18]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 8 | Linear OA(8112, 2097171, F8, 17) (dual of [2097171, 2097059, 18]-code) | [i] | ||
| 9 | Linear OA(8107, 2097162, F8, 17) (dual of [2097162, 2097055, 18]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 10 | Linear OA(8114, 2097168, F8, 19) (dual of [2097168, 2097054, 20]-code) | [i] | ✔ | |
| 11 | Linear OA(8100, 2097168, F8, 15) (dual of [2097168, 2097068, 16]-code) | [i] | ✔ | |
| 12 | Linear OA(8102, 2097163, F8, 17) (dual of [2097163, 2097061, 18]-code) | [i] | ✔ | |
| 13 | Linear OA(8103, 2097171, F8, 17) (dual of [2097171, 2097068, 18]-code) | [i] | ✔ | |
| 14 | Linear OA(8131, 2097185, F8, 21) (dual of [2097185, 2097054, 22]-code) | [i] | ✔ | |
| 15 | Linear OA(8106, 2097188, F8, 17) (dual of [2097188, 2097082, 18]-code) | [i] | ✔ | |
| 16 | Linear OA(8103, 2097185, F8, 15) (dual of [2097185, 2097082, 16]-code) | [i] | ✔ | |
| 17 | Linear OA(8148, 2097202, F8, 23) (dual of [2097202, 2097054, 24]-code) | [i] | ✔ | |
| 18 | Linear OA(8112, 2097208, F8, 17) (dual of [2097208, 2097096, 18]-code) | [i] | ✔ | |
| 19 | Linear OA(8110, 2097206, F8, 16) (dual of [2097206, 2097096, 17]-code) | [i] | ✔ | |
| 20 | Linear OA(8168, 2097218, F8, 25) (dual of [2097218, 2097050, 26]-code) | [i] | ✔ | |
| 21 | Linear OA(8166, 2097218, F8, 24) (dual of [2097218, 2097052, 25]-code) | [i] | ✔ | |
| 22 | Linear OA(8167, 2097221, F8, 24) (dual of [2097221, 2097054, 25]-code) | [i] | ✔ | |
| 23 | Linear OA(8100, 2097169, F8, 15) (dual of [2097169, 2097069, 16]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 24 | Linear OOA(899, 699051, F8, 3, 17) (dual of [(699051, 3), 2097054, 18]-NRT-code) | [i] | OOA Folding | |
| 25 | Linear OOA(899, 262144, F8, 17, 17) (dual of [(262144, 17), 4456349, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |