Information on Result #611454

Linear OA(2226, 512, F2, 55) (dual of [512, 286, 56]-code), using an extension Ce(54) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,54], and designed minimum distance d ≥ |I|+1 = 55

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(2236, 522, F2, 57) (dual of [522, 286, 58]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(2227, 522, F2, 55) (dual of [522, 295, 56]-code) [i]✔
3Linear OA(2249, 528, F2, 59) (dual of [528, 279, 60]-code) [i]✔
4Linear OA(2250, 536, F2, 59) (dual of [536, 286, 60]-code) [i]✔
5Linear OA(2231, 528, F2, 55) (dual of [528, 297, 56]-code) [i]✔
6Linear OA(2232, 536, F2, 55) (dual of [536, 304, 56]-code) [i]✔
7Linear OA(2243, 552, F2, 55) (dual of [552, 309, 56]-code) [i]✔
8Linear OA(2244, 557, F2, 55) (dual of [557, 313, 56]-code) [i]✔
9Linear OA(2251, 573, F2, 55) (dual of [573, 322, 56]-code) [i]✔
10Linear OA(2259, 582, F2, 55) (dual of [582, 323, 56]-code) [i]✔
11Linear OA(2260, 591, F2, 54) (dual of [591, 331, 55]-code) [i]✔
12Linear OA(2258, 587, F2, 55) (dual of [587, 329, 56]-code) [i]✔
13Linear OA(2249, 529, F2, 59) (dual of [529, 280, 60]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
14Linear OA(2248, 527, F2, 59) (dual of [527, 279, 60]-code) [i]✔
15Linear OA(2256, 547, F2, 59) (dual of [547, 291, 60]-code) [i]✔
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(2231, 529, F2, 55) (dual of [529, 298, 56]-code) [i]✔
21Linear OA(2230, 527, F2, 55) (dual of [527, 297, 56]-code) [i]✔
22Linear OA(2243, 553, F2, 55) (dual of [553, 310, 56]-code) [i]✔
23Linear OA(2242, 551, F2, 55) (dual of [551, 309, 56]-code) [i]✔
24Linear OA(2240, 548, F2, 55) (dual of [548, 308, 56]-code) [i]✔
25Linear OA(2239, 546, F2, 55) (dual of [546, 307, 56]-code) [i]✔
26Linear OA(2238, 544, F2, 55) (dual of [544, 306, 56]-code) [i]✔
27Linear OOA(2226, 256, F2, 2, 55) (dual of [(256, 2), 286, 56]-NRT-code) [i]OOA Folding