Information on Result #611101
Linear OA(2137, 131073, F2, 17) (dual of [131073, 130936, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 131073 | 234−1, 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(2136, 131072, F2, 16) (dual of [131072, 130936, 17]-code) | [i] | Truncation | |
| 2 | Linear OA(2145, 131082, F2, 17) (dual of [131082, 130937, 18]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(2174, 131077, F2, 21) (dual of [131077, 130903, 22]-code) | [i] | ✔ | |
| 4 | Linear OA(2175, 131081, F2, 21) (dual of [131081, 130906, 22]-code) | [i] | ✔ | |
| 5 | Linear OA(2176, 131089, F2, 21) (dual of [131089, 130913, 22]-code) | [i] | ✔ | |
| 6 | Linear OA(2177, 131105, F2, 21) (dual of [131105, 130928, 22]-code) | [i] | ✔ | |
| 7 | Linear OA(2178, 131114, F2, 21) (dual of [131114, 130936, 22]-code) | [i] | ✔ | |
| 8 | Linear OA(2140, 131077, F2, 17) (dual of [131077, 130937, 18]-code) | [i] | ✔ | |
| 9 | Linear OA(2141, 131081, F2, 17) (dual of [131081, 130940, 18]-code) | [i] | ✔ | |
| 10 | Linear OA(2142, 131089, F2, 17) (dual of [131089, 130947, 18]-code) | [i] | ✔ | |
| 11 | Linear OA(2143, 131105, F2, 17) (dual of [131105, 130962, 18]-code) | [i] | ✔ | |
| 12 | Linear OA(2144, 131114, F2, 17) (dual of [131114, 130970, 18]-code) | [i] | ✔ | |
| 13 | Linear OOA(2137, 43691, F2, 3, 17) (dual of [(43691, 3), 130936, 18]-NRT-code) | [i] | OOA Folding | |
| 14 | Linear OOA(2137, 16384, F2, 17, 17) (dual of [(16384, 17), 278391, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |