Information on Result #611449

Linear OA(2217, 512, F2, 53) (dual of [512, 295, 54]-code), using an extension Ce(52) of 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

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(2227, 522, F2, 55) (dual of [522, 295, 56]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(2218, 522, F2, 53) (dual of [522, 304, 54]-code) [i]✔
3Linear OA(2240, 528, F2, 57) (dual of [528, 288, 58]-code) [i]✔
4Linear OA(2241, 536, F2, 57) (dual of [536, 295, 58]-code) [i]✔
5Linear OA(2227, 534, F2, 53) (dual of [534, 307, 54]-code) [i]✔
6Linear OA(2228, 541, F2, 53) (dual of [541, 313, 54]-code) [i]✔
7Linear OA(2255, 545, F2, 59) (dual of [545, 290, 60]-code) [i]✔
8Linear OA(2257, 552, F2, 59) (dual of [552, 295, 60]-code) [i]✔
9Linear OA(2234, 552, F2, 53) (dual of [552, 318, 54]-code) [i]✔
10Linear OA(2235, 557, F2, 53) (dual of [557, 322, 54]-code) [i]✔
11Linear OA(2242, 573, F2, 53) (dual of [573, 331, 54]-code) [i]✔
12Linear OA(2250, 582, F2, 53) (dual of [582, 332, 54]-code) [i]✔
13Linear OA(2252, 592, F2, 53) (dual of [592, 340, 54]-code) [i]✔
14Linear OA(2249, 587, F2, 53) (dual of [587, 338, 54]-code) [i]✔
15Linear OA(2256, 547, F2, 59) (dual of [547, 291, 60]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
16Linear OA(2254, 543, F2, 59) (dual of [543, 289, 60]-code) [i]✔
17Linear OA(2253, 541, F2, 59) (dual of [541, 288, 60]-code) [i]✔
18Linear OA(2240, 529, F2, 57) (dual of [529, 289, 58]-code) [i]✔
19Linear OA(2239, 527, F2, 57) (dual of [527, 288, 58]-code) [i]✔
20Linear OA(2247, 547, F2, 57) (dual of [547, 300, 58]-code) [i]✔
21Linear OA(2245, 543, F2, 57) (dual of [543, 298, 58]-code) [i]✔
22Linear OA(2244, 541, F2, 57) (dual of [541, 297, 58]-code) [i]✔
23Linear OA(2231, 529, F2, 55) (dual of [529, 298, 56]-code) [i]✔
24Linear OA(2230, 527, F2, 55) (dual of [527, 297, 56]-code) [i]✔
25Linear OA(2226, 534, F2, 53) (dual of [534, 308, 54]-code) [i]✔
26Linear OA(2225, 532, F2, 53) (dual of [532, 307, 54]-code) [i]✔
27Linear OA(2224, 530, F2, 53) (dual of [530, 306, 54]-code) [i]✔
28Linear OA(2233, 550, F2, 53) (dual of [550, 317, 54]-code) [i]✔
29Linear OA(2232, 548, F2, 53) (dual of [548, 316, 54]-code) [i]✔
30Linear OA(2231, 546, F2, 53) (dual of [546, 315, 54]-code) [i]✔
31Linear OOA(2217, 256, F2, 2, 53) (dual of [(256, 2), 295, 54]-NRT-code) [i]OOA Folding
32Linear OOA(2217, 128, F2, 4, 53) (dual of [(128, 4), 295, 54]-NRT-code) [i]