Information on Result #611092
Linear OA(2113, 16385, F2, 17) (dual of [16385, 16272, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 228−1, 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(2112, 16384, F2, 16) (dual of [16384, 16272, 17]-code) | [i] | Truncation | |
| 2 | Linear OA(2121, 16394, F2, 17) (dual of [16394, 16273, 18]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(2144, 16389, F2, 21) (dual of [16389, 16245, 22]-code) | [i] | ✔ | |
| 4 | Linear OA(2145, 16393, F2, 21) (dual of [16393, 16248, 22]-code) | [i] | ✔ | |
| 5 | Linear OA(2146, 16401, F2, 21) (dual of [16401, 16255, 22]-code) | [i] | ✔ | |
| 6 | Linear OA(2147, 16417, F2, 21) (dual of [16417, 16270, 22]-code) | [i] | ✔ | |
| 7 | Linear OA(2148, 16420, F2, 21) (dual of [16420, 16272, 22]-code) | [i] | ✔ | |
| 8 | Linear OA(2116, 16389, F2, 17) (dual of [16389, 16273, 18]-code) | [i] | ✔ | |
| 9 | Linear OA(2117, 16393, F2, 17) (dual of [16393, 16276, 18]-code) | [i] | ✔ | |
| 10 | Linear OA(2118, 16401, F2, 17) (dual of [16401, 16283, 18]-code) | [i] | ✔ | |
| 11 | Linear OA(2119, 16417, F2, 17) (dual of [16417, 16298, 18]-code) | [i] | ✔ | |
| 12 | Linear OA(2120, 16420, F2, 17) (dual of [16420, 16300, 18]-code) | [i] | ✔ | |
| 13 | Linear OOA(2113, 3277, F2, 5, 17) (dual of [(3277, 5), 16272, 18]-NRT-code) | [i] | OOA Folding | |
| 14 | Linear OOA(2113, 2048, F2, 17, 17) (dual of [(2048, 17), 34703, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |