Information on Result #702168
Linear OA(2216, 511, F2, 52) (dual of [511, 295, 53]-code), using the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53
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
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2244, 579, F2, 52) (dual of [579, 335, 53]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(2245, 585, F2, 52) (dual of [585, 340, 53]-code) | [i] | ||
| 3 | Linear OA(2246, 591, F2, 52) (dual of [591, 345, 53]-code) | [i] | ||
| 4 | Linear OA(2247, 598, F2, 52) (dual of [598, 351, 53]-code) | [i] | ||
| 5 | Linear OA(2248, 605, F2, 52) (dual of [605, 357, 53]-code) | [i] | ||
| 6 | Linear OA(2249, 612, F2, 52) (dual of [612, 363, 53]-code) | [i] | ||
| 7 | Linear OA(2250, 620, F2, 52) (dual of [620, 370, 53]-code) | [i] | ||
| 8 | Linear OA(2251, 628, F2, 52) (dual of [628, 377, 53]-code) | [i] | ||
| 9 | Linear OA(2252, 636, F2, 52) (dual of [636, 384, 53]-code) | [i] | ||
| 10 | Linear OA(2253, 644, F2, 52) (dual of [644, 391, 53]-code) | [i] | ||
| 11 | Linear OA(2245, 579, F2, 52) (dual of [579, 334, 53]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 12 | Linear OA(2247, 582, F2, 52) (dual of [582, 335, 53]-code) | [i] | ✔ | |
| 13 | Linear OA(2248, 584, F2, 52) (dual of [584, 336, 53]-code) | [i] | ✔ | |
| 14 | Linear OA(2249, 589, F2, 52) (dual of [589, 340, 53]-code) | [i] | ✔ | |
| 15 | Linear OA(2255, 550, F2, 58) (dual of [550, 295, 59]-code) | [i] | ✔ | |
| 16 | Linear OA(2231, 535, F2, 55) (dual of [535, 304, 56]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 17 | Linear OA(2228, 532, F2, 54) (dual of [532, 304, 55]-code) | [i] | ✔ | |
| 18 | Linear OA(2246, 550, F2, 57) (dual of [550, 304, 58]-code) | [i] | ✔ | |
| 19 | Linear OA(2242, 546, F2, 56) (dual of [546, 304, 57]-code) | [i] | ✔ | |
| 20 | Linear OA(2257, 557, F2, 58) (dual of [557, 300, 59]-code) | [i] | ✔ | |
| 21 | Linear OA(2256, 554, F2, 58) (dual of [554, 298, 59]-code) | [i] | ✔ | |
| 22 | Linear OA(2240, 535, F2, 57) (dual of [535, 295, 58]-code) | [i] | ✔ | |
| 23 | Linear OA(2237, 532, F2, 56) (dual of [532, 295, 57]-code) | [i] | ✔ | |
| 24 | Linear OA(2255, 550, F2, 59) (dual of [550, 295, 60]-code) | [i] | ✔ | |
| 25 | Linear OA(2251, 546, F2, 58) (dual of [546, 295, 59]-code) | [i] | ✔ | |
| 26 | Linear OOA(2216, 255, F2, 2, 52) (dual of [(255, 2), 294, 53]-NRT-code) | [i] | OOA Folding | |
| 27 | Linear OOA(2216, 170, F2, 3, 52) (dual of [(170, 3), 294, 53]-NRT-code) | [i] | ||
| 28 | Linear OOA(2216, 127, F2, 4, 52) (dual of [(127, 4), 292, 53]-NRT-code) | [i] | ||
| 29 | Linear OOA(2216, 102, F2, 5, 52) (dual of [(102, 5), 294, 53]-NRT-code) | [i] | ||