Information on Result #702318
Linear OA(2144, 511, F2, 34) (dual of [511, 367, 35]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−34,−33,…,−1}, and designed minimum distance d ≥ |I|+1 = 35
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2144, 511, F2, 33) (dual of [511, 367, 34]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2146, 513, F2, 34) (dual of [513, 367, 35]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(2174, 564, F2, 36) (dual of [564, 390, 37]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 4 | Linear OA(2172, 561, F2, 36) (dual of [561, 389, 37]-code) | [i] | ✔ | |
| 5 | Linear OA(2169, 554, F2, 37) (dual of [554, 385, 38]-code) | [i] | ✔ | |
| 6 | Linear OA(2166, 551, F2, 36) (dual of [551, 385, 37]-code) | [i] | ✔ | |
| 7 | Linear OA(2165, 544, F2, 36) (dual of [544, 379, 37]-code) | [i] | ✔ | |
| 8 | Linear OA(2163, 539, F2, 37) (dual of [539, 376, 38]-code) | [i] | ✔ | |
| 9 | Linear OA(2160, 536, F2, 36) (dual of [536, 376, 37]-code) | [i] | ✔ | |
| 10 | Linear OA(2159, 530, F2, 36) (dual of [530, 371, 37]-code) | [i] | ✔ | |
| 11 | Linear OA(2184, 569, F2, 39) (dual of [569, 385, 40]-code) | [i] | ✔ | |
| 12 | Linear OA(2180, 565, F2, 38) (dual of [565, 385, 39]-code) | [i] | ✔ | |
| 13 | Linear OA(2179, 558, F2, 38) (dual of [558, 379, 39]-code) | [i] | ✔ | |
| 14 | Linear OA(2196, 561, F2, 42) (dual of [561, 365, 43]-code) | [i] | ✔ | |
| 15 | Linear OA(2211, 576, F2, 44) (dual of [576, 365, 45]-code) | [i] | ✔ | |
| 16 | Linear OOA(2144, 255, F2, 2, 34) (dual of [(255, 2), 366, 35]-NRT-code) | [i] | OOA Folding | |
| 17 | Linear OOA(2144, 170, F2, 3, 34) (dual of [(170, 3), 366, 35]-NRT-code) | [i] | ||
| 18 | Linear OOA(2144, 127, F2, 4, 34) (dual of [(127, 4), 364, 35]-NRT-code) | [i] | ||
| 19 | Linear OOA(2144, 102, F2, 5, 34) (dual of [(102, 5), 366, 35]-NRT-code) | [i] | ||